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QUESTION

Express the following as products of primes:-

(i) 132 \hspace{1.5cm} (ii) 400 \hspace{1.5cm} (iii) 1995

and hence write down gcd(132,400),\ gcd(132,1995) and
gcd(400,1995).



ANSWER

(i) $132=2^2.3.11$ \hspace{1.5cm} (ii) $400=2^4.5^2$
\hspace{1.5cm} (iii) $1995=3.5.7.19$

gcd$(132,400)=2^2=4$, gcd$(132,1995)=3$, gcd$(400,1995)=5$




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