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 524, 366, 60, 156 i.e. 2 largest integer that divides all the numbers equally.
GCD of 524, 366, 60, 156 is 2
GCD(524, 366, 60, 156) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 524, 366, 60, 156 is 2
GCD(524, 366, 60, 156) = 2
Given Input numbers are 524, 366, 60, 156
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 524, 366, 60, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 366, 60, 156 is 2.
Therefore, GCD of numbers 524, 366, 60, 156 is 2
Given Input Data is 524, 366, 60, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 156 is 2 x 2 x 3 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(524, 366) = 95892
GCD(524, 366) = ( 524 x 366 ) / 95892
GCD(524, 366) = 191784 / 95892
GCD(524, 366) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 60) = 60
GCD(2, 60) = ( 2 x 60 ) / 60
GCD(2, 60) = 120 / 60
GCD(2, 60) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
GCD(2, 156) = 312 / 156
GCD(2, 156) = 2
GCD of 524, 366, 60, 156 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 524, 366, 60, 156?
GCD of 524, 366, 60, 156 is 2
2. Where do I get the detailed procedure to find GCD of 524, 366, 60, 156?
You can find a detailed procedure to find GCD of 524, 366, 60, 156 on our page.
3. How to find GCD of 524, 366, 60, 156 on a calculator?
You can find the GCD of 524, 366, 60, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.