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 657, 136, 590, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 657, 136, 590, 936 is 1
GCD(657, 136, 590, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 657, 136, 590, 936 is 1
GCD(657, 136, 590, 936) = 1
Given Input numbers are 657, 136, 590, 936
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Greatest Common Divisior
We found the divisors of 657, 136, 590, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 136, 590, 936 is 1.
Therefore, GCD of numbers 657, 136, 590, 936 is 1
Given Input Data is 657, 136, 590, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
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(657, 136) = 89352
GCD(657, 136) = ( 657 x 136 ) / 89352
GCD(657, 136) = 89352 / 89352
GCD(657, 136) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 590) = 590
GCD(1, 590) = ( 1 x 590 ) / 590
GCD(1, 590) = 590 / 590
GCD(1, 590) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 657, 136, 590, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 657, 136, 590, 936?
GCD of 657, 136, 590, 936 is 1
2. Where do I get the detailed procedure to find GCD of 657, 136, 590, 936?
You can find a detailed procedure to find GCD of 657, 136, 590, 936 on our page.
3. How to find GCD of 657, 136, 590, 936 on a calculator?
You can find the GCD of 657, 136, 590, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.