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 137, 565, 928, 817 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 565, 928, 817 is 1
GCD(137, 565, 928, 817) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 565, 928, 817 is 1
GCD(137, 565, 928, 817) = 1
Given Input numbers are 137, 565, 928, 817
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
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 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Greatest Common Divisior
We found the divisors of 137, 565, 928, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 565, 928, 817 is 1.
Therefore, GCD of numbers 137, 565, 928, 817 is 1
Given Input Data is 137, 565, 928, 817
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 565 is 5 x 113
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 817 is 19 x 43
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(137, 565) = 77405
GCD(137, 565) = ( 137 x 565 ) / 77405
GCD(137, 565) = 77405 / 77405
GCD(137, 565) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 817) = 817
GCD(1, 817) = ( 1 x 817 ) / 817
GCD(1, 817) = 817 / 817
GCD(1, 817) = 1
GCD of 137, 565, 928, 817 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 565, 928, 817?
GCD of 137, 565, 928, 817 is 1
2. Where do I get the detailed procedure to find GCD of 137, 565, 928, 817?
You can find a detailed procedure to find GCD of 137, 565, 928, 817 on our page.
3. How to find GCD of 137, 565, 928, 817 on a calculator?
You can find the GCD of 137, 565, 928, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.