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 969, 656, 902, 226 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 656, 902, 226 is 1
GCD(969, 656, 902, 226) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 656, 902, 226 is 1
GCD(969, 656, 902, 226) = 1
Given Input numbers are 969, 656, 902, 226
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Greatest Common Divisior
We found the divisors of 969, 656, 902, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 656, 902, 226 is 1.
Therefore, GCD of numbers 969, 656, 902, 226 is 1
Given Input Data is 969, 656, 902, 226
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 226 is 2 x 113
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(969, 656) = 635664
GCD(969, 656) = ( 969 x 656 ) / 635664
GCD(969, 656) = 635664 / 635664
GCD(969, 656) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 902) = 902
GCD(1, 902) = ( 1 x 902 ) / 902
GCD(1, 902) = 902 / 902
GCD(1, 902) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
GCD(1, 226) = 226 / 226
GCD(1, 226) = 1
GCD of 969, 656, 902, 226 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 656, 902, 226?
GCD of 969, 656, 902, 226 is 1
2. Where do I get the detailed procedure to find GCD of 969, 656, 902, 226?
You can find a detailed procedure to find GCD of 969, 656, 902, 226 on our page.
3. How to find GCD of 969, 656, 902, 226 on a calculator?
You can find the GCD of 969, 656, 902, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.