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:
Quantity of container 1 = 130 l
Quantity of container 2 = 442 l
Quantity of conatiner 3 = 234 l
Concept:
To find the biggest measure, we need to find the HCF of the quantity given.
Calculation:
Factors of 130 l = 2 × 5 × 13
Factors of 442 l = 2 × 13 × 17
Factors of 234 l = 2 × 3 × 3 × 13
HCF of 130, 442 and 234 = 2 × 13
⇒ 26
∴ Biggest measure can be used to measure all the containers exactly is 26 l
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Feb 20, 2025