Find the common factors of- 14 pq- 28p-2 q - Maths Q-A

Find the common factor:Factors of 14pq14pq=2× 7× p× qFactors of 28p^2q28p^2q=2× 2× 7× p× p× qTherefore the common factors of:14pq, 28p^2q are 2, 7, pand q∴ 2 ...

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Standard X

Mathematics

GCD of Polynomials

Find the comm...

Question

Find the common factors of: $14 p q, 28 p^{2} q$

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Solution

Find the common factor:
Factors of $14 p q$
$14 p q = 2 \times 7 \times p \times q$
Factors of $28 p^{2} q$
$28 p^{2} q = 2 \times 2 \times 7 \times p \times p \times q$
Therefore the common factors of: $14 p q, 28 p^{2} q$ are $2, 7, p$ and $q$
$∴ 2 \times 7 \times p \times q = 14 p q$
Hence, the common factor is $14 p q .$

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Similar questions

Q. Question 1(iii)
Find the common factors of the terms

14 p q, 28 p^{2} q^{2}

Find the common factors of the terms

(i) $12 x, 36$

(ii) $2 y, 22 x y$

(iii) $14 p q, 28 p^{2} q^{2}$

(iv) $2 x, 3 x^{2}, 4$

(v) $6 a b c, 24 a b^{2}, 12 a^{2} b$

(vi) $16 x^{3}, - 4 x^{2}, 32 x$

(vii) $10 p q, 20 q r, 30 r p$

(viii) $3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z$

Q. Find the common factors of the given terms.
(i)

12 x, 36

(ii)

2 y, 22 x y

(iii)

14 p q, 28 p^{2} q^{2}

(iv)

2 x, 3 x^{2}, 4

(v)

6 a b c, 24 a b^{2}, 12 a^{2} b

(vi)

16 x^{3}, - 4 x^{2}, 32 x

(vii)

10 p q, 20 q r, 30 r p

(viii)

3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z

Q. Find the common factors of

14 p q, 28 p^{2} q^{2}

Q. Find the common factors of the given terms:

14 p q, 28 p^{2} q^{2}

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Find the common factors of:14pq,28p2q

Find the common factor:Factors of 14pq14pq=2×7×p×qFactors of 28p2q28p2q=2×2×7×p×p×qTherefore the common factors of:14pq,28p2q are 2,7,pand q∴2×7×p×q=14pqHence, the common factor is 14pq.

Find the common factors of: $14 p q, 28 p^{2} q$