Question 1 (j)

Find the HCF of the following numbers:
12, 45, 75

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Solution

HCF of two or more number is the highest number which divides the given numbers exactly.
Factors of 12 = $2 \times 2 \times 3$
Factors of 45 = $3 \times 3 \times 5$
Factors of 75 = $3 \times 5 \times 5$
HCF of 12, 45, and 75 = $1 \times 3 = 3$

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12, 45, 75

Find the HCF of the following numbers:

(a) 18, 48 (b) 30, 42 (c) 18, 60

(d) 27, 63 (e) 36, 84 (f) 34, 102

(g) 70, 105, 175 (h) 91, 112, 49 (i) 18, 54, 81

(j) 12, 45, 75

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