What is the greatest number which divides 415 and 450 and leaves the r

1.	What is the greatest number which divides 415 and 450 and leaves the remainder 5 and 0 respectively?1. 102. 123. 154. 18
Answer» Correct Answer - Option 1 : 10 Given: The given divisors are 415 and 450 and remainders are 5 and 0 respectively. Concept Used: When we need to find the greatest number in that case we calculate the HCF of numbers. Here we have to find the greatest number which when divides x and y leaves the remainder a and b and the number can be found by formula ∴ Required number = HCF of [(x - a), (y - b)] Calculation: Required number = HCF of [(415 - 5) and (450 - 0)] = HCF of (410 and 450) ∴ HCF of (410 and 450) = 10

What is the greatest number which divides 415 and 450 and leaves the remainder 5 and 0 respectively?1. 102. 123. 154. 18

Answer» Correct Answer - Option 1 : 10

Given:

The given divisors are 415 and 450 and remainders are 5 and 0 respectively.

Concept Used:

When we need to find the greatest number in that case we calculate the HCF of numbers.

Here we have to find the greatest number which when divides x and y leaves the remainder a and b and the number can be found by formula

∴ Required number = HCF of [(x - a), (y - b)]

Calculation:

Required number = HCF of [(415 - 5) and (450 - 0)] = HCF of (410 and 450)

∴ HCF of (410 and 450) = 10

Discussion

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