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 $155$ and $1385$ using Euclid's division algorithm,we follow these steps:Step $1$: Apply Euclid's division lemma to $1385$

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(A) To find the $g.c.d.$ of $155$ and $1385$ using Euclid's division algorithm,we follow these steps:Step $1$: Apply Euclid's division lemma to $1385$ and $155$:$1385 = 155 	imes 8 + 145$Step $2$: Apply the lemma to $155$ and $145$:$155 = 145 	imes 1 + 10$Step $3$: Apply the lemma to $145$ and $10$:$145 = 10 	imes 14 + 5$Step $4$: Apply the lemma to $10$ and $5$:$10 = 5 	imes 2 + 0$Since the remainder is $0$,the divisor at this stage is the $g.c.d.$Therefore,the $g.c.d.$ of $155$ and $1385$ is $5$.

Find the $g.c.d.$ (Greatest Common Divisor) of $155$ and $1385$ using Euclid's division algorithm.

Similar Questions

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

Find the $\text{l.c.m.}$ and $\text{g.c.d.}$ of the following by using the fundamental theorem of arithmetic: $144$,$180$,and $192$.

Find the $\text{g.c.d.}$ and $\text{l.c.m.}$ of $72$ and $90$ using the fundamental theorem of arithmetic.

$\sqrt{12-\sqrt{140}} = \dots$

State whether the following rational number has a terminating decimal expansion or not. If it has a terminating decimal expansion,find it: $\frac{15}{1600}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module