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 565, 238, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 565, 238, 921 is 1
GCD(565, 238, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 565, 238, 921 is 1
GCD(565, 238, 921) = 1
Given Input numbers are 565, 238, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 565, 238, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 238, 921 is 1.
Therefore, GCD of numbers 565, 238, 921 is 1
Given Input Data is 565, 238, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 565 is 5 x 113
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 921 is 3 x 307
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(565, 238) = 134470
GCD(565, 238) = ( 565 x 238 ) / 134470
GCD(565, 238) = 134470 / 134470
GCD(565, 238) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 565, 238, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 565, 238, 921?
GCD of 565, 238, 921 is 1
2. Where do I get the detailed procedure to find GCD of 565, 238, 921?
You can find a detailed procedure to find GCD of 565, 238, 921 on our page.
3. How to find GCD of 565, 238, 921 on a calculator?
You can find the GCD of 565, 238, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.