Question

3 A trader has three bundles of string 392 m, 308 m and 490 m long. What is the greatest
length of string that the bundles can be cut up into without any left over string​

Answer 1

Answer:

14

Step-by-step explanation:

Given A trader has three bundles of string 392 m, 308 m and 490 m long. What is the greatest

length of string that the bundles can be cut up into without any left over string

We need to find the greatest length of string that the bundles can be cut without any string cut. So we need to find the hcf of the given bundles of strings.

So the factors of the given numbers are

292 = 2 x 2 x 2 x 7 x 7

308 = 2 x 2 x 7 x 11

490 = 2 x 5 x 7 x 7

So greatest common factor will be 2 x 7 = 14

the greatest

length of string that the bundles can be cut up into without any left over string​ is 14 m