Question

504 and 1188 hcf with divison

Answer 1

On applying Euclid’s algorithm, i.e. dividing 1188 by 504, we get: Quotient = 2, Remainder = 180 ∴ 1188 = 504 × 2 + 180 Again on applying Euclid’s algorithm, i.e. dividing 504 by 180, we get: Quotient = 2, Remainder = 144 ∴ 504 = 180 × 2 + 144 Again on applying Euclid’s algorithm, i.e. dividing 180 by 144, we get: Quotient = 1, Remainder = 36 ∴ 180 = 144 × 1 + 36 Again on applying Euclid’s algorithm, i.e. dividing 144 by 36,

we get:

∴ 144 = 36 × 4 + 0

Hence, the HCF of 1188 and 504 is 36.

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Answer 2

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