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 584, 572, 703, 880 i.e. 1 largest integer that divides all the numbers equally.
GCD of 584, 572, 703, 880 is 1
GCD(584, 572, 703, 880) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 572, 703, 880 is 1
GCD(584, 572, 703, 880) = 1
Given Input numbers are 584, 572, 703, 880
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
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 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
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 584, 572, 703, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 572, 703, 880 is 1.
Therefore, GCD of numbers 584, 572, 703, 880 is 1
Given Input Data is 584, 572, 703, 880
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 703 is 19 x 37
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(584, 572) = 83512
GCD(584, 572) = ( 584 x 572 ) / 83512
GCD(584, 572) = 334048 / 83512
GCD(584, 572) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 703) = 2812
GCD(4, 703) = ( 4 x 703 ) / 2812
GCD(4, 703) = 2812 / 2812
GCD(4, 703) = 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 584, 572, 703, 880 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 572, 703, 880?
GCD of 584, 572, 703, 880 is 1
2. Where do I get the detailed procedure to find GCD of 584, 572, 703, 880?
You can find a detailed procedure to find GCD of 584, 572, 703, 880 on our page.
3. How to find GCD of 584, 572, 703, 880 on a calculator?
You can find the GCD of 584, 572, 703, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.