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 372, 484, 136, 372 i.e. 4 largest integer that divides all the numbers equally.
GCD of 372, 484, 136, 372 is 4
GCD(372, 484, 136, 372) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 484, 136, 372 is 4
GCD(372, 484, 136, 372) = 4
Given Input numbers are 372, 484, 136, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 372, 484, 136, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 484, 136, 372 is 4.
Therefore, GCD of numbers 372, 484, 136, 372 is 4
Given Input Data is 372, 484, 136, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 372 is 2 x 2 x 3 x 31
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(372, 484) = 45012
GCD(372, 484) = ( 372 x 484 ) / 45012
GCD(372, 484) = 180048 / 45012
GCD(372, 484) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 136) = 136
GCD(4, 136) = ( 4 x 136 ) / 136
GCD(4, 136) = 544 / 136
GCD(4, 136) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 372) = 372
GCD(4, 372) = ( 4 x 372 ) / 372
GCD(4, 372) = 1488 / 372
GCD(4, 372) = 4
GCD of 372, 484, 136, 372 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 484, 136, 372?
GCD of 372, 484, 136, 372 is 4
2. Where do I get the detailed procedure to find GCD of 372, 484, 136, 372?
You can find a detailed procedure to find GCD of 372, 484, 136, 372 on our page.
3. How to find GCD of 372, 484, 136, 372 on a calculator?
You can find the GCD of 372, 484, 136, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.