By using the fact text{g.c.d.}(a, b) times te | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given that $	ext{g.c.d.}(306, 657) = 9$ (as the prime factorization of $306 = 2 	imes 3^2 	imes 17$ and $657 = 3^2 	imes 73$,so $	ext{g.c.d.}

Vedclass · Accepted Answer

$22338$

Vedclass · Answer

(D) Given that $	ext{g.c.d.}(306, 657) = 9$ (as the prime factorization of $306 = 2 	imes 3^2 	imes 17$ and $657 = 3^2 	imes 73$,so $	ext{g.c.d.} = 3^2 = 9$).Using the formula: $	ext{g.c.d.}(a, b) 	imes 	ext{l.c.m.}(a, b) = a 	imes b$.Substitute the values: $9 	imes 	ext{l.c.m.}(306, 657) = 306 	imes 657$.$	ext{l.c.m.}(306, 657) = \frac{306 	imes 657}{9}$.$	ext{l.c.m.}(306, 657) = 34 	imes 657 = 22338$.

By using the fact $\text{g.c.d.}(a, b) \times \text{l.c.m.}(a, b) = a \times b$,find $\text{l.c.m.}(306, 657)$.

Similar Questions

Which of the following is Bezout's identity?

Simplify: $\frac{1}{\sqrt{6}-\sqrt{5}}-\frac{3}{\sqrt{5}-\sqrt{2}}-\frac{4}{\sqrt{6}+\sqrt{2}}$

The following real number is expressed in decimal form. Determine whether it is rational or not. If it is rational,express it in the form of $\frac{p}{q}$. $0.02003000400005 \ldots$

Show that the square of an odd positive integer can be of the form $6q + 1$ or $6q + 3$ for some integer $q$.

The decimal form of $\frac{6}{15}$ is ............

Vedclass Test Series

Exam Paper Generator

Online Exam Module