Find the common factors of the terms(i) 10pq, 20qr, 30rp(ii) 3x2y3, 10

1.	Find the common factors of the terms(i) 10pq, 20qr, 30rp(ii) 3x2y3, 10x3y2, 6x2y2z
Answer» (i) 10pq = 2 × 5 × p × q 20qr = 2 × 2 × 5 × q × r 30rp = 2 × 3 × 5 × r × p The common factors are 2, 5. And, 2 × 5 = 10 (ii) 3x²y³ = 3 × x × x × y × y × y 10x³y² = 2 × 5 × x × x × x × y × y 6x²y²z = 2 × 3 × x × x × y × y × z x × x × y × y = x²y²

Find the common factors of the terms(i) 10pq, 20qr, 30rp(ii) 3x2y3, 10x3y2, 6x2y2z

Answer»

(i) 10pq = 2 × 5 × p × q

20qr = 2 × 2 × 5 × q × r

30rp = 2 × 3 × 5 × r × p

The common factors are 2, 5.

And, 2 × 5 = 10

(ii) 3x²y³ = 3 × x × x × y × y × y

10x³y² = 2 × 5 × x × x × x × y × y

6x²y²z = 2 × 3 × x × x × y × y × z

x × x × y × y = x²y²