HARD

Earn 100

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

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

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

The Euclidean algorithm is used to calculate the _____.

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

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:

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

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

The LCM and HCF of two numbers are

171360

and

14

respectively. If one of the numbers is

2142

then what is the second number?

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}

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 ?

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

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.

EASY

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

What is the Lowest Common Multiple of

2, 3

and

7

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

Which of the following is true?

EASY

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

At a telephone exchange, three phones ring at intervals of

20

sec,

24

sec, and

30

sec. If they ring together at

11 : 25

am, when will they next ring together?

MEDIUM

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

Find the number lying between

900

and

1000

, which when divided by

38

and

57

leaves in each case a reminder

23

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

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 ?

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.