Find the H.C.F. of the following:
(a) 63, 99 (b) 459, 527
(c) 342, 378
Answers
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Answer:
Finding Factors of 63
1 x 63 = 63
3 x 21 = 63
7 x 9 = 63
Finding Factors of 99
1 x 99 = 99
3 x 33 = 99
9 x 11 = 99
Factors of 63 are [1, 3, 7, 9, 21, 63]
Factors of 99 are [1, 3, 9, 11, 33, 99]
The common factors of 63 and 99 are [1, 3, 9]
The Largest Common Factor of 63 and 99 is 9
HCF is 9
2:-Finding Factors of 459
1 x 459 = 459
3 x 153 = 459
9 x 51 = 459
17 x 27 = 459
Finding Factors of 527
1 x 527 = 527
17 x 31 = 527
Factors of 459 are [1, 3, 9, 17, 27, 51, 153, 459]
Factors of 527 are [1, 17, 31, 527]
The common factors of 459 and 527 are [1, 17]
The Largest Common Factor of 459 and 527 is 17
HCF is 17
3:-Finding Factors of 342
1 x 342 = 342
2 x 171 = 342
3 x 114 = 342
6 x 57 = 342
9 x 38 = 342
18 x 19 = 342
Finding Factors of 378
1 x 378 = 378
2 x 189 = 378
3 x 126 = 378
6 x 63 = 378
7 x 54 = 378
9 x 42 = 378
14 x 27 = 378
18 x 21 = 378
Factors of 342 are [1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342]
Factors of 378 are [1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378]
The common factors of 342 and 378 are [1, 2, 3, 6, 9, 18]
The Largest Common Factor of 342 and 378 is 18
HCF is 18