what is the longest measure that can be used to fill exactly 3 container 16, 32 and 40 litre respectively
Answers
16 = 2^4
32 = 2^5
40 = 2^3 • 5
HCF(16,32,40) = 8
8 litres is the required measure!!!
Hope it is clear!!!
Answer:
The longest measure can be used to fill the given containers 16,32 and 40 exactly = 8 liters
Step-by-step explanation:
Given,
Three containers with capacity 16,32, and 40
To find,
The longest measure can be used to fill the given three containers exactly.
Solution:
To find the the greatest measure to fill the containers 16,32 and 40, we need to find the HCF of the numbers 16,32 and 40
The prime factorization of 16 = 2×2×2×2
The prime factorization of 32 =2×2×2×2×2
The prime factorization of 40 = 2×2×2×5
The common factors are 2,2,2
The highest common factor of 16,32 and 40 = 2×2×2 = 8
∴ The longest measure can be used to fill the given containers 16,32 and 40 exactly = 8 liters.
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