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 22, 957, 709, 262 i.e. 1 largest integer that divides all the numbers equally.
GCD of 22, 957, 709, 262 is 1
GCD(22, 957, 709, 262) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 957, 709, 262 is 1
GCD(22, 957, 709, 262) = 1
Given Input numbers are 22, 957, 709, 262
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Greatest Common Divisior
We found the divisors of 22, 957, 709, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 957, 709, 262 is 1.
Therefore, GCD of numbers 22, 957, 709, 262 is 1
Given Input Data is 22, 957, 709, 262
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 709 is 709
Prime Factorization of 262 is 2 x 131
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(22, 957) = 1914
GCD(22, 957) = ( 22 x 957 ) / 1914
GCD(22, 957) = 21054 / 1914
GCD(22, 957) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 709) = 7799
GCD(11, 709) = ( 11 x 709 ) / 7799
GCD(11, 709) = 7799 / 7799
GCD(11, 709) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 262
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 262) = 262
GCD(1, 262) = ( 1 x 262 ) / 262
GCD(1, 262) = 262 / 262
GCD(1, 262) = 1
GCD of 22, 957, 709, 262 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 957, 709, 262?
GCD of 22, 957, 709, 262 is 1
2. Where do I get the detailed procedure to find GCD of 22, 957, 709, 262?
You can find a detailed procedure to find GCD of 22, 957, 709, 262 on our page.
3. How to find GCD of 22, 957, 709, 262 on a calculator?
You can find the GCD of 22, 957, 709, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.