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, 657, 876, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 565, 657, 876, 432 is 1
GCD(565, 657, 876, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 565, 657, 876, 432 is 1
GCD(565, 657, 876, 432) = 1
Given Input numbers are 565, 657, 876, 432
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 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 565, 657, 876, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 657, 876, 432 is 1.
Therefore, GCD of numbers 565, 657, 876, 432 is 1
Given Input Data is 565, 657, 876, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 565 is 5 x 113
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
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, 657) = 371205
GCD(565, 657) = ( 565 x 657 ) / 371205
GCD(565, 657) = 371205 / 371205
GCD(565, 657) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 565, 657, 876, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 565, 657, 876, 432?
GCD of 565, 657, 876, 432 is 1
2. Where do I get the detailed procedure to find GCD of 565, 657, 876, 432?
You can find a detailed procedure to find GCD of 565, 657, 876, 432 on our page.
3. How to find GCD of 565, 657, 876, 432 on a calculator?
You can find the GCD of 565, 657, 876, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.