Question

find the greatest number that divides each of 180,225 and 315 completely

Answer 1

Find Prime Factors:

180 = 2² x 3² x 5

225 = 3² x 5²

315 = 3² x 5 x 7

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Find HCF:

HCF = 3² x 5 = 45

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Answer: 45 is the greatest number that can divide all the 3 numbers.