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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?

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The required greatest length of the string is the highest common factor (HCF) of 392, 308 and 490. 

∴ 392 = 2 x 2 x 2 x 7 x 7 

308 = 2 x 2 x 7 x 11 

490 = 2 x 7 x 7 x 5 

∴ HCF of 392, 308 and 490 = 2 x 7 

= 14 

∴ The required greatest length of the string is 14 m

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