Question

Find the common factors of the given terms in each.

(i) 15p, 20qr, 25rp

(ii) 4x², 6xy, 8y²x

(iii) 12x²y, 18xy²

Answer 1

i) 15p, 20qr, 25rp

15p = 3 × 5 × p

20qr = 4 × 5 × q × r

25rp = 5 × 5 × r × p

∴ Common factors of 15p, 20qr, 25rp = 5.

ii) 4x², 6xy, 8y²x

4x² = 2 × 2 × x × x

6xy = 2 × 3 × x × y

8y²x = 2 × 2 × 2 × y × y × x

∴ Common factors of 4x², 6xy, 8xy² = 2, x, 2x.

iii)12x²y, 18xy²

12x²2y = 2 × 2 × 3 × x × x × y

18xy² = 3 × 3 × 2 × x × y × y

∴ Common factors of 12x²y, 18xy²

= 2,3, x, y, 6, xy, 6x, 6y, 2x, 2y, 3x, 3y, 6xy.