Math, asked by Kartika15, 1 year ago

find the HCF of a) 105,570


goswamiom02pbegy7: 105=3×5×7 and 570= 2×3×5×9

Answers

Answered by NightFury
1
Find the prime factorization of 105
105 = 3 × 5 × 7

Find the prime factorization of 570
570 = 2 × 3 × 5 × 19

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 5

GCF = 15

The greatest common factor (gcf) is also known as greatest common divisor (gcd) or highest common factor (hcf).

Related

Find hcf of: 210 & 1140 315 & 1710 35 & 190 525 & 2850 21 & 114 735 & 3990 210 & 570 105 & 1140 315 & 570 105 & 1710 525 & 570 105 & 2850 735 & 570 105 & 3990


NightFury: hlo
Answered by 9237
1
by Euclid's division algorithm,
570=105×5+45
105=45×2+15
45=15×3+0
HCF of 570,105=15
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