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 457, 131, 91, 634 i.e. 1 largest integer that divides all the numbers equally.
GCD of 457, 131, 91, 634 is 1
GCD(457, 131, 91, 634) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 457, 131, 91, 634 is 1
GCD(457, 131, 91, 634) = 1
Given Input numbers are 457, 131, 91, 634
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 457, 131, 91, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 131, 91, 634 is 1.
Therefore, GCD of numbers 457, 131, 91, 634 is 1
Given Input Data is 457, 131, 91, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 457 is 457
Prime Factorization of 131 is 131
Prime Factorization of 91 is 7 x 13
Prime Factorization of 634 is 2 x 317
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(457, 131) = 59867
GCD(457, 131) = ( 457 x 131 ) / 59867
GCD(457, 131) = 59867 / 59867
GCD(457, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
GCD(1, 634) = 634 / 634
GCD(1, 634) = 1
GCD of 457, 131, 91, 634 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 457, 131, 91, 634?
GCD of 457, 131, 91, 634 is 1
2. Where do I get the detailed procedure to find GCD of 457, 131, 91, 634?
You can find a detailed procedure to find GCD of 457, 131, 91, 634 on our page.
3. How to find GCD of 457, 131, 91, 634 on a calculator?
You can find the GCD of 457, 131, 91, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.