H.C.F. 225,375,600 BY FACTORISATION METHOD
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- gcf, hcf, gcd (225; 315) = 45 = 3^2 × 5: greatest (highest) common factor (divisor), calculated
- Find the prime factors of each of the given number.
- Find the prime factors of each of the given number.Next, we identify the common prime factors of the given numbers.
- Find the prime factors of each of the given number.Next, we identify the common prime factors of the given numbers.We then multiply the common factors. The product of these common factors is the HCF of the given numbers.
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Factor of 36 are →
1, 2, 3, 4, 6, 9, 12, 18, 36
Factor of 45 are →
1, 3, 5, 9, 15, 45
1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6
1 × 45, 3 × 15, 5 × 9
The common factors of 36 and 45 are 1, 3, 9.
The highest common factor is 9.
II. Find the HCF of 12, 48 and 72.
Let us first list all the factors of each number.
Factors of 12 are 1, 2, 3, 4, 6 and 12
Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48
Factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72
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