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 970, 872, 583, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 970, 872, 583, 302 is 1
GCD(970, 872, 583, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 872, 583, 302 is 1
GCD(970, 872, 583, 302) = 1
Given Input numbers are 970, 872, 583, 302
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 970, 872, 583, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 872, 583, 302 is 1.
Therefore, GCD of numbers 970, 872, 583, 302 is 1
Given Input Data is 970, 872, 583, 302
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 583 is 11 x 53
Prime Factorization of 302 is 2 x 151
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(970, 872) = 422920
GCD(970, 872) = ( 970 x 872 ) / 422920
GCD(970, 872) = 845840 / 422920
GCD(970, 872) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 583
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 583) = 1166
GCD(2, 583) = ( 2 x 583 ) / 1166
GCD(2, 583) = 1166 / 1166
GCD(2, 583) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
GCD of 970, 872, 583, 302 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 872, 583, 302?
GCD of 970, 872, 583, 302 is 1
2. Where do I get the detailed procedure to find GCD of 970, 872, 583, 302?
You can find a detailed procedure to find GCD of 970, 872, 583, 302 on our page.
3. How to find GCD of 970, 872, 583, 302 on a calculator?
You can find the GCD of 970, 872, 583, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.