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 936, 676, 644, 604 i.e. 4 largest integer that divides all the numbers equally.
GCD of 936, 676, 644, 604 is 4
GCD(936, 676, 644, 604) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 676, 644, 604 is 4
GCD(936, 676, 644, 604) = 4
Given Input numbers are 936, 676, 644, 604
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Greatest Common Divisior
We found the divisors of 936, 676, 644, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 676, 644, 604 is 4.
Therefore, GCD of numbers 936, 676, 644, 604 is 4
Given Input Data is 936, 676, 644, 604
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 604 is 2 x 2 x 151
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(936, 676) = 12168
GCD(936, 676) = ( 936 x 676 ) / 12168
GCD(936, 676) = 632736 / 12168
GCD(936, 676) = 52
Step2:
Here we consider the GCD from the above i.e. 52 as first number and the next as 644
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(52, 644) = 8372
GCD(52, 644) = ( 52 x 644 ) / 8372
GCD(52, 644) = 33488 / 8372
GCD(52, 644) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 604) = 604
GCD(4, 604) = ( 4 x 604 ) / 604
GCD(4, 604) = 2416 / 604
GCD(4, 604) = 4
GCD of 936, 676, 644, 604 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 676, 644, 604?
GCD of 936, 676, 644, 604 is 4
2. Where do I get the detailed procedure to find GCD of 936, 676, 644, 604?
You can find a detailed procedure to find GCD of 936, 676, 644, 604 on our page.
3. How to find GCD of 936, 676, 644, 604 on a calculator?
You can find the GCD of 936, 676, 644, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.