Find the common factors of:
(i) 15 and 25
35 and 50 (iii) 20 and 28
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Answered by
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Step-by-step explanation:
(i) 15 and 25
We know that
1 × 15 = 15
3 × 5 = 15
Factors of 15 are 1, 3, 5 and 15.
We know that
1 × 25 = 25
5 × 5 = 25
Factors of 25 are 1, 5 and 25.
Therefore, the common factors are 1 and 5.
(ii) 35 and 50
We know that
1 × 35 = 35
5 × 7 = 35
Factors of 35 are 1, 5, 7, and 35.
We know that
1 × 50 = 50
2 × 25 = 50
5 × 10 = 50
Factors of 50 are 1, 2, 5, 10, 25 and 50.
Therefore, the common factors are 1 and 5.
(iii)20 and 28
We know that
1 × 20 = 20
2 × 10 = 20
4 × 5 = 20
Factors of 20 are 1, 2, 4, 5, 10 and 20.
We know that
1 × 28 = 28
2 × 14 = 28
7 × 4 = 28
Factors of 28 are 1, 2, 4, 7, 14 and 28.
Therefore, the common factors are 1, 2 and 4.
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-- :
Factors of 20=1,2,4,5,10,20
Factors of 28=1,2,4,7,14,28
Common factors =1,2,4.
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