Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 741, 271, 411, 202 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 271, 411, 202 is 1
GCD(741, 271, 411, 202) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 271, 411, 202 is 1
GCD(741, 271, 411, 202) = 1
Given Input numbers are 741, 271, 411, 202
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Greatest Common Divisior
We found the divisors of 741, 271, 411, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 271, 411, 202 is 1.
Therefore, GCD of numbers 741, 271, 411, 202 is 1
Given Input Data is 741, 271, 411, 202
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 271 is 271
Prime Factorization of 411 is 3 x 137
Prime Factorization of 202 is 2 x 101
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(741, 271) = 200811
GCD(741, 271) = ( 741 x 271 ) / 200811
GCD(741, 271) = 200811 / 200811
GCD(741, 271) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 411
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 411) = 411
GCD(1, 411) = ( 1 x 411 ) / 411
GCD(1, 411) = 411 / 411
GCD(1, 411) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 202) = 202
GCD(1, 202) = ( 1 x 202 ) / 202
GCD(1, 202) = 202 / 202
GCD(1, 202) = 1
GCD of 741, 271, 411, 202 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 271, 411, 202?
GCD of 741, 271, 411, 202 is 1
2. Where do I get the detailed procedure to find GCD of 741, 271, 411, 202?
You can find a detailed procedure to find GCD of 741, 271, 411, 202 on our page.
3. How to find GCD of 741, 271, 411, 202 on a calculator?
You can find the GCD of 741, 271, 411, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.