Question

What is the HcF of 60,75,90

Answer 1

Answer:

The highest common factor is found by multiplying all the factors which appear in both lists: So the HCF of 60 and 72 is 2 × 2 × 3 which is 12. The lowest common multiple is found by multiplying all the factors which appear in either list: So the LCM of 60 and 72 is 2 × 2 × 2 × 3 × 3 × 5 which is 360.

Factors of 70 (Seventy) = 1, 2, 5, 14, 7, 10, 35 and 70. Therefore, common factor of 50 (Fifty) and 70 (Seventy) = 1, 2, 5, 10. Highest common factor (H.C.F) of 50 (Fifty) and 70 (Seventy) = 10.

90 = 3 x 3 x 2 x 5. H.C.F( 90, 144) = 2 x 3 x 3 = 18

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Answer 2

15

60 = 22 • 3 • 5

75 = 3 • 52

90 = 2 • 32 • 5