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, 454, 131, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 454, 131, 177 is 1
GCD(741, 454, 131, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 454, 131, 177 is 1
GCD(741, 454, 131, 177) = 1
Given Input numbers are 741, 454, 131, 177
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 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 741, 454, 131, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 454, 131, 177 is 1.
Therefore, GCD of numbers 741, 454, 131, 177 is 1
Given Input Data is 741, 454, 131, 177
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 454 is 2 x 227
Prime Factorization of 131 is 131
Prime Factorization of 177 is 3 x 59
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, 454) = 336414
GCD(741, 454) = ( 741 x 454 ) / 336414
GCD(741, 454) = 336414 / 336414
GCD(741, 454) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
GCD(1, 131) = 131 / 131
GCD(1, 131) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 741, 454, 131, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 454, 131, 177?
GCD of 741, 454, 131, 177 is 1
2. Where do I get the detailed procedure to find GCD of 741, 454, 131, 177?
You can find a detailed procedure to find GCD of 741, 454, 131, 177 on our page.
3. How to find GCD of 741, 454, 131, 177 on a calculator?
You can find the GCD of 741, 454, 131, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.