Question

Q7) Three strings of different lengths 240 cm, 318 cm and 426 cm are to be cut into small
pieces, each of equal length. What is the greatest possible length of each piece that we can have
so that there is no wastage?

Answer 1

The greatest possible length of each piece without wastage is 6 cm.

Given:

Three strings of different lengths 240 cm, 318 cm, and 426 cm.

To Find:

The greatest possible length of each piece without wastage.

Solution:

The largest number that divides these three numbers is the highest common factor (HCF) of these numbers. HCF of given numbers can be found using prime factorization. The product of the prime factors that are common to each of the given numbers is the HCF.

240 = 2 x 2 x 2 x 2 x 3 x 5

318 = 2 x 3 x 53

426 = 2 x 3 x 71

Only 2 × 3 is common for all these three numbers.

⇒HCF = 2 x 3 = 6

Therefore, The greatest possible length of each piece without wastage is 6 cm.

#SPJ3

Answer 2

Answer:

360 is 22 is 654

4+6

568%26

5535=635

56+56