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 328, 508, 928, 632 i.e. 4 largest integer that divides all the numbers equally.
GCD of 328, 508, 928, 632 is 4
GCD(328, 508, 928, 632) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 328, 508, 928, 632 is 4
GCD(328, 508, 928, 632) = 4
Given Input numbers are 328, 508, 928, 632
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Greatest Common Divisior
We found the divisors of 328, 508, 928, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 508, 928, 632 is 4.
Therefore, GCD of numbers 328, 508, 928, 632 is 4
Given Input Data is 328, 508, 928, 632
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 632 is 2 x 2 x 2 x 79
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(328, 508) = 41656
GCD(328, 508) = ( 328 x 508 ) / 41656
GCD(328, 508) = 166624 / 41656
GCD(328, 508) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 928) = 928
GCD(4, 928) = ( 4 x 928 ) / 928
GCD(4, 928) = 3712 / 928
GCD(4, 928) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 632
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 632) = 632
GCD(4, 632) = ( 4 x 632 ) / 632
GCD(4, 632) = 2528 / 632
GCD(4, 632) = 4
GCD of 328, 508, 928, 632 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 328, 508, 928, 632?
GCD of 328, 508, 928, 632 is 4
2. Where do I get the detailed procedure to find GCD of 328, 508, 928, 632?
You can find a detailed procedure to find GCD of 328, 508, 928, 632 on our page.
3. How to find GCD of 328, 508, 928, 632 on a calculator?
You can find the GCD of 328, 508, 928, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.