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 956, 553, 36, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 956, 553, 36, 220 is 1
GCD(956, 553, 36, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 956, 553, 36, 220 is 1
GCD(956, 553, 36, 220) = 1
Given Input numbers are 956, 553, 36, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 956, 553, 36, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 553, 36, 220 is 1.
Therefore, GCD of numbers 956, 553, 36, 220 is 1
Given Input Data is 956, 553, 36, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 553 is 7 x 79
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 220 is 2 x 2 x 5 x 11
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(956, 553) = 528668
GCD(956, 553) = ( 956 x 553 ) / 528668
GCD(956, 553) = 528668 / 528668
GCD(956, 553) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 956, 553, 36, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 956, 553, 36, 220?
GCD of 956, 553, 36, 220 is 1
2. Where do I get the detailed procedure to find GCD of 956, 553, 36, 220?
You can find a detailed procedure to find GCD of 956, 553, 36, 220 on our page.
3. How to find GCD of 956, 553, 36, 220 on a calculator?
You can find the GCD of 956, 553, 36, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.