Q. 1 B5.0( 3 Votes )

# Let’s find G.C.D of the following algebraic expressions:

5p^{2}q^{2}, 10p^{2}q^{2}, 25p4q^{3}

Answer :

factors of 5p^{2}q^{2}=5×p×p×q×q

factors of 10p^{2}q^{2}=2×5×p×p×q×q

factors of 25p^{4}q^{3}=2×2×5×5×p×q×q×q

GCD is the greatest common divisor, which is equal to the product of all the common divisors.

∴the GCD of 5p^{2}q^{2}, 10p^{2}q^{2}, 25p4q^{3} is 5pq^{2}

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