Find the H.C.F.- 150, 120, 360
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Answer:
1. Decompose all numbers into prime factors
120 2 60 2 30 2 15 3 5 5 1 150 2 75 3 25 5 5 5 1 360 2 180 2 90 2 45 3 15 3 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 120 = 23 . 3 . 5
Prime factors of 150 = 2 . 3 . 52
Prime factors of 360 = 23 . 32 . 5
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150- 2*3*5²
120-2³*3*5
360-2³*3*5
HCF= 3*5*2
=30
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