(1) Find the HCF by the short division method.
(a) 12 and 42
(b) 28 and 72
(c) 13 and 39
(d) 14 and 58
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We will discuss here about the method of h.c.f. (highest common factor).
Let us consider two numbers 16 and 24.
Factor of 16 are → 1, 2, 4, 8, 16
Factor of 24 are → 1, 2, 3, 4, 6, 8, 12, 16
1 × 16, 2 × 8, 4 × 4
1 × 24, 2 × 12, 3 × 8, 4 × 6
We see that the highest common factor of 16 and 24 is 8. In short, the Highest Common Factor is expressed as H.C.F.
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