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 587, 572, 268, 880 i.e. 1 largest integer that divides all the numbers equally.
GCD of 587, 572, 268, 880 is 1
GCD(587, 572, 268, 880) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 587, 572, 268, 880 is 1
GCD(587, 572, 268, 880) = 1
Given Input numbers are 587, 572, 268, 880
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Greatest Common Divisior
We found the divisors of 587, 572, 268, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 587, 572, 268, 880 is 1.
Therefore, GCD of numbers 587, 572, 268, 880 is 1
Given Input Data is 587, 572, 268, 880
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 587 is 587
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
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(587, 572) = 335764
GCD(587, 572) = ( 587 x 572 ) / 335764
GCD(587, 572) = 335764 / 335764
GCD(587, 572) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
GCD(1, 268) = 268 / 268
GCD(1, 268) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 880
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 880) = 880
GCD(1, 880) = ( 1 x 880 ) / 880
GCD(1, 880) = 880 / 880
GCD(1, 880) = 1
GCD of 587, 572, 268, 880 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 587, 572, 268, 880?
GCD of 587, 572, 268, 880 is 1
2. Where do I get the detailed procedure to find GCD of 587, 572, 268, 880?
You can find a detailed procedure to find GCD of 587, 572, 268, 880 on our page.
3. How to find GCD of 587, 572, 268, 880 on a calculator?
You can find the GCD of 587, 572, 268, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.