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, 151, 107, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 22, 151, 107, 676 is 1
GCD(22, 151, 107, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 151, 107, 676 is 1
GCD(22, 151, 107, 676) = 1
Given Input numbers are 22, 151, 107, 676
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 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Greatest Common Divisior
We found the divisors of 22, 151, 107, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 151, 107, 676 is 1.
Therefore, GCD of numbers 22, 151, 107, 676 is 1
Given Input Data is 22, 151, 107, 676
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 151 is 151
Prime Factorization of 107 is 107
Prime Factorization of 676 is 2 x 2 x 13 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(22, 151) = 3322
GCD(22, 151) = ( 22 x 151 ) / 3322
GCD(22, 151) = 3322 / 3322
GCD(22, 151) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
GCD(1, 107) = 107 / 107
GCD(1, 107) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
GCD of 22, 151, 107, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 151, 107, 676?
GCD of 22, 151, 107, 676 is 1
2. Where do I get the detailed procedure to find GCD of 22, 151, 107, 676?
You can find a detailed procedure to find GCD of 22, 151, 107, 676 on our page.
3. How to find GCD of 22, 151, 107, 676 on a calculator?
You can find the GCD of 22, 151, 107, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.