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, 886, 52, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 524, 886, 52, 359 is 1
GCD(524, 886, 52, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 524, 886, 52, 359 is 1
GCD(524, 886, 52, 359) = 1
Given Input numbers are 524, 886, 52, 359
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 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 524, 886, 52, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 886, 52, 359 is 1.
Therefore, GCD of numbers 524, 886, 52, 359 is 1
Given Input Data is 524, 886, 52, 359
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 886 is 2 x 443
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 359 is 359
The above numbers do not have any common prime factor. So GCD is 1
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, 886) = 232132
GCD(524, 886) = ( 524 x 886 ) / 232132
GCD(524, 886) = 464264 / 232132
GCD(524, 886) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 52) = 52
GCD(2, 52) = ( 2 x 52 ) / 52
GCD(2, 52) = 104 / 52
GCD(2, 52) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 359) = 718
GCD(2, 359) = ( 2 x 359 ) / 718
GCD(2, 359) = 718 / 718
GCD(2, 359) = 1
GCD of 524, 886, 52, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 524, 886, 52, 359?
GCD of 524, 886, 52, 359 is 1
2. Where do I get the detailed procedure to find GCD of 524, 886, 52, 359?
You can find a detailed procedure to find GCD of 524, 886, 52, 359 on our page.
3. How to find GCD of 524, 886, 52, 359 on a calculator?
You can find the GCD of 524, 886, 52, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.