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 928, 580, 61, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 928, 580, 61, 938 is 1
GCD(928, 580, 61, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 928, 580, 61, 938 is 1
GCD(928, 580, 61, 938) = 1
Given Input numbers are 928, 580, 61, 938
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 928, 580, 61, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 580, 61, 938 is 1.
Therefore, GCD of numbers 928, 580, 61, 938 is 1
Given Input Data is 928, 580, 61, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 61 is 61
Prime Factorization of 938 is 2 x 7 x 67
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(928, 580) = 4640
GCD(928, 580) = ( 928 x 580 ) / 4640
GCD(928, 580) = 538240 / 4640
GCD(928, 580) = 116
Step2:
Here we consider the GCD from the above i.e. 116 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(116, 61) = 7076
GCD(116, 61) = ( 116 x 61 ) / 7076
GCD(116, 61) = 7076 / 7076
GCD(116, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 928, 580, 61, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 928, 580, 61, 938?
GCD of 928, 580, 61, 938 is 1
2. Where do I get the detailed procedure to find GCD of 928, 580, 61, 938?
You can find a detailed procedure to find GCD of 928, 580, 61, 938 on our page.
3. How to find GCD of 928, 580, 61, 938 on a calculator?
You can find the GCD of 928, 580, 61, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.