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Three different containers contain 130 l, 442 l and 234 l of milk, respectively. What biggest measure can be used to measure all the containers exactly?

Three different containers contain 130 l, 442 l and 234 l of milk, respectively. What biggest measure can be used to measure all the containers exactly? Correct Answer 26 l

Given:

Three containers contain 130 l, 442 l and 234 l of milk

Concept used:

H.C.F will be the biggest measure to measure all the containers exactly

Calculation:

Prime factorization of numbers

130 = 2 × 5 × 13

442 = 2 × 13 × 17

234 = 2 × 3 × 3 × 13

H.C.F is the common factors = 2 × 13 = 26

∴ The biggest measure can be used to measure all the containers exactly is 26 l

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