Rd sharma solutions

# Question 1

Find the common factors of:

(i) 15 and 25

(ii) 35 and 50

(iii) 20 and 28

(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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