HARD

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Find all pairs of positive integers whose sum is $91$ and H.C.F is $13$ . Show your work.

Important Questions on Less Common Multiple and Highest Common Factor

HARD

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

(x + k)

is the HCF of

x^{2} + px + q

and

x^{2} + qx + p

where

p \neq q

then what is the value of

k

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

The Euclidean algorithm is used to calculate the _____.

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

Three numbers are in the ratio

1 : 2 : 3

and their HCF is

12

. The numbers are_____.

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

What is the

H C F

of smallest prime number and the smallest composite number ?

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

x \times y

denotes H.C.F. of

x

and

y

and

x @ y

denotes L.C.M. of

x

and

y

, then the value of

(72 \times 84) @ 144

is:

MEDIUM

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

The product of two numbers is

2160

and their HCF is

12

. If the sum of the squares of the two numbers is

4896

, then what is the mean of the two numbers?

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

Find the greatest number which will exactly divide

200

and

320

MEDIUM

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

What is the HCF of

3^{29} - 9

and

3^{38} - 9

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

What is the Highest common factor of

\frac{7}{16}, \frac{21}{32}

and

\frac{49}{8}

MEDIUM

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

The largest number which divides

72

and

127

leaving remainders

7

and

10

respectively is

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

Find the

HCF

68 and 119

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

A, B, C have

152, 171

and

266

marbles, respectively. They decide to divide these marbles in parts such that all parts have the same number of marbles. Also, they cannot give or take the marbles. Find the minimum possible number of parts that can be made.

MEDIUM

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

If the HCF of polynomials $f (x) = (x - 1) (x^{2} + 3 x + a)$ and $g (x) = (x + 2) (x^{2} + 2 x + b)$ is $(x^{2} + x - 2)$ then what are the values of $a$ and $b$ respectively?

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

Find the HCF of 3, 7 and 15.

(A) 7

(B) 15

(D) 1

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

What will be the Highest Common Factor of

4, 8

and

12 ?

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

Find the maximum number of students among whom

2002

pens and

1820

pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils?

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

The

HCF

125

and

49

is _____

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

The capacity of two pots are

240 L, 112 L

respectively. Find the capacity of a container which can exactly measure the contents of the two pots.

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

A florist has 400 roses and 360 jasmines with him. He was asked to make a garland of flowers with only roses or only jasmines each containing the same number of flowers. What will be the largest number of flowers he can join together without leaving a single flower?

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Factor, Common Factor and Highest Common Factor

The

HCF

of any two consecutive numbers is _____

Find all pairs of positive integers whose sum is 91 and H.C.F is 13. Show your work.

Important Questions on Less Common Multiple and Highest Common Factor

Learn and Prepare for any exam you want !

Find all pairs of positive integers whose sum is $91$ and H.C.F is $13$ . Show your work.