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 872, 988, 52, 664 i.e. 4 largest integer that divides all the numbers equally.
GCD of 872, 988, 52, 664 is 4
GCD(872, 988, 52, 664) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 872, 988, 52, 664 is 4
GCD(872, 988, 52, 664) = 4
Given Input numbers are 872, 988, 52, 664
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Greatest Common Divisior
We found the divisors of 872, 988, 52, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 988, 52, 664 is 4.
Therefore, GCD of numbers 872, 988, 52, 664 is 4
Given Input Data is 872, 988, 52, 664
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 664 is 2 x 2 x 2 x 83
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(872, 988) = 215384
GCD(872, 988) = ( 872 x 988 ) / 215384
GCD(872, 988) = 861536 / 215384
GCD(872, 988) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 52) = 52
GCD(4, 52) = ( 4 x 52 ) / 52
GCD(4, 52) = 208 / 52
GCD(4, 52) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 664) = 664
GCD(4, 664) = ( 4 x 664 ) / 664
GCD(4, 664) = 2656 / 664
GCD(4, 664) = 4
GCD of 872, 988, 52, 664 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 872, 988, 52, 664?
GCD of 872, 988, 52, 664 is 4
2. Where do I get the detailed procedure to find GCD of 872, 988, 52, 664?
You can find a detailed procedure to find GCD of 872, 988, 52, 664 on our page.
3. How to find GCD of 872, 988, 52, 664 on a calculator?
You can find the GCD of 872, 988, 52, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.