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 884, 871, 564, 726 i.e. 1 largest integer that divides all the numbers equally.
GCD of 884, 871, 564, 726 is 1
GCD(884, 871, 564, 726) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 884, 871, 564, 726 is 1
GCD(884, 871, 564, 726) = 1
Given Input numbers are 884, 871, 564, 726
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Greatest Common Divisior
We found the divisors of 884, 871, 564, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 871, 564, 726 is 1.
Therefore, GCD of numbers 884, 871, 564, 726 is 1
Given Input Data is 884, 871, 564, 726
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 871 is 13 x 67
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 726 is 2 x 3 x 11 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(884, 871) = 59228
GCD(884, 871) = ( 884 x 871 ) / 59228
GCD(884, 871) = 769964 / 59228
GCD(884, 871) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 564) = 7332
GCD(13, 564) = ( 13 x 564 ) / 7332
GCD(13, 564) = 7332 / 7332
GCD(13, 564) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
GCD(1, 726) = 726 / 726
GCD(1, 726) = 1
GCD of 884, 871, 564, 726 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 884, 871, 564, 726?
GCD of 884, 871, 564, 726 is 1
2. Where do I get the detailed procedure to find GCD of 884, 871, 564, 726?
You can find a detailed procedure to find GCD of 884, 871, 564, 726 on our page.
3. How to find GCD of 884, 871, 564, 726 on a calculator?
You can find the GCD of 884, 871, 564, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.