Find the g.c.d. (Greatest Common Divisor) of | vedclass

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

Question

(A) To find the $g.c.d.$ of $12576$ and $4052$ using Euclid's division algorithm,we follow these steps:Step $1$: Since $12576 > 4052$,we apply Euclid'

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(A) To find the $g.c.d.$ of $12576$ and $4052$ using Euclid's division algorithm,we follow these steps:Step $1$: Since $12576 > 4052$,we apply Euclid's division lemma to $12576$ and $4052$:$12576 = 4052 	imes 3 + 420$Step $2$: Since the remainder $420 
eq 0$,we apply the lemma to $4052$ and $420$:$4052 = 420 	imes 9 + 272$Step $3$: Since the remainder $272 
eq 0$,we apply the lemma to $420$ and $272$:$420 = 272 	imes 1 + 148$Step $4$: Since the remainder $148 
eq 0$,we apply the lemma to $272$ and $148$:$272 = 148 	imes 1 + 124$Step $5$: Since the remainder $124 
eq 0$,we apply the lemma to $148$ and $124$:$148 = 124 	imes 1 + 24$Step $6$: Since the remainder $24 
eq 0$,we apply the lemma to $124$ and $24$:$124 = 24 	imes 5 + 4$Step $7$: Since the remainder $4 
eq 0$,we apply the lemma to $24$ and $4$:$24 = 4 	imes 6 + 0$Since the remainder is now $0$,the divisor at this stage is the $g.c.d.$Therefore,the $g.c.d.$ of $12576$ and $4052$ is $4$.

Find the $g.c.d.$ (Greatest Common Divisor) of $12576$ and $4052$ using Euclid's division algorithm.

Similar Questions

$(3k+2)^2$ leaves remainder ............ on dividing by $3$.

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 $\frac{p}{q}$. $0.\overline{001}$

By using the fact $g.c.d. (a, b) \times l.c.m. (a, b) = a \times b$,find $l.c.m. (26, 91)$.

If two positive integers $p$ and $q$ can be expressed as $p = a b^{2}$ and $q = a^{3} b$,where $a$ and $b$ are prime numbers,then $LCM(p, q)$ is:

By using the fact $g.c.d.(a, b) \times l.c.m.(a, b) = a \times b$,find $l.c.m.(96, 404)$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module