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 724, 964, 444, 188 i.e. 4 largest integer that divides all the numbers equally.
GCD of 724, 964, 444, 188 is 4
GCD(724, 964, 444, 188) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 964, 444, 188 is 4
GCD(724, 964, 444, 188) = 4
Given Input numbers are 724, 964, 444, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 724, 964, 444, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 964, 444, 188 is 4.
Therefore, GCD of numbers 724, 964, 444, 188 is 4
Given Input Data is 724, 964, 444, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 188 is 2 x 2 x 47
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(724, 964) = 174484
GCD(724, 964) = ( 724 x 964 ) / 174484
GCD(724, 964) = 697936 / 174484
GCD(724, 964) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 444
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 444) = 444
GCD(4, 444) = ( 4 x 444 ) / 444
GCD(4, 444) = 1776 / 444
GCD(4, 444) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 188) = 188
GCD(4, 188) = ( 4 x 188 ) / 188
GCD(4, 188) = 752 / 188
GCD(4, 188) = 4
GCD of 724, 964, 444, 188 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 964, 444, 188?
GCD of 724, 964, 444, 188 is 4
2. Where do I get the detailed procedure to find GCD of 724, 964, 444, 188?
You can find a detailed procedure to find GCD of 724, 964, 444, 188 on our page.
3. How to find GCD of 724, 964, 444, 188 on a calculator?
You can find the GCD of 724, 964, 444, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.