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 121, 956, 221, 709 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 956, 221, 709 is 1
GCD(121, 956, 221, 709) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 956, 221, 709 is 1
GCD(121, 956, 221, 709) = 1
Given Input numbers are 121, 956, 221, 709
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Greatest Common Divisior
We found the divisors of 121, 956, 221, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 956, 221, 709 is 1.
Therefore, GCD of numbers 121, 956, 221, 709 is 1
Given Input Data is 121, 956, 221, 709
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 221 is 13 x 17
Prime Factorization of 709 is 709
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(121, 956) = 115676
GCD(121, 956) = ( 121 x 956 ) / 115676
GCD(121, 956) = 115676 / 115676
GCD(121, 956) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
GCD(1, 709) = 709 / 709
GCD(1, 709) = 1
GCD of 121, 956, 221, 709 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 956, 221, 709?
GCD of 121, 956, 221, 709 is 1
2. Where do I get the detailed procedure to find GCD of 121, 956, 221, 709?
You can find a detailed procedure to find GCD of 121, 956, 221, 709 on our page.
3. How to find GCD of 121, 956, 221, 709 on a calculator?
You can find the GCD of 121, 956, 221, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.