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 529, 956, 61, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 529, 956, 61, 136 is 1
GCD(529, 956, 61, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 529, 956, 61, 136 is 1
GCD(529, 956, 61, 136) = 1
Given Input numbers are 529, 956, 61, 136
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Greatest Common Divisior
We found the divisors of 529, 956, 61, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 956, 61, 136 is 1.
Therefore, GCD of numbers 529, 956, 61, 136 is 1
Given Input Data is 529, 956, 61, 136
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 529 is 23 x 23
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 61 is 61
Prime Factorization of 136 is 2 x 2 x 2 x 17
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(529, 956) = 505724
GCD(529, 956) = ( 529 x 956 ) / 505724
GCD(529, 956) = 505724 / 505724
GCD(529, 956) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
GCD of 529, 956, 61, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 529, 956, 61, 136?
GCD of 529, 956, 61, 136 is 1
2. Where do I get the detailed procedure to find GCD of 529, 956, 61, 136?
You can find a detailed procedure to find GCD of 529, 956, 61, 136 on our page.
3. How to find GCD of 529, 956, 61, 136 on a calculator?
You can find the GCD of 529, 956, 61, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.