Question

Find the greatest number which exactly divides 81 ,144 and 162

Answer 1

Answer:

GCD of 81, 144 and 162 is 9

Step-by-step explanation:

HCF of 81 ,144 and 162 = GCD(162,144) = GCD(162-144,144)

= GCD(18,144) = GCD(144-18,144) = GCD(136,18)........GCD(18,18)

GCD = 18

GCD(81,18) = GCD(81-18,18) = GCD(63,18) = GCD(63-18,18)..................

= GCD(27-18,18) = GCD(9,18) = GCD(18-9,9) = GCD(9,9)

GCD of 81, 144 and 162 is 9

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