Question

. Find out the largest number that can divide 350, 750 and 1125 without leaving a remainder.​

Answer 1

25

Explanation:

➡ Factorizing the first number, 350:

350 =  2 x 5 x 5 x 7

➡ Factorizing the second number, 750:

750 = 2 x 3 x 5 x 5 x 5

➡ Factorizing the third number, 1125:

1125 = 3 x 3 x 5 x 5 x 5

Now, the largest number that can divide 350, 750 and 1125 without leaving a remainder is the HCF of all the given three numbers.

HCF(350, 750, 1125) = 5 x 5 = 25

The largest number that can divide 350, 750 and 1125 is 25.

For confirmation,

350 ÷ 25 = 14

750 ÷ 25 = 30

1125 ÷ 25 = 45

No remainders are left in any of the cases which helps us confirm the answer.

Highest Common Factor (HCF)

The number that acts as the highest factor common to two or more given numbers is known as the highest common factor of the given numbers.