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, 631, 18, 906 i.e. 1 largest integer that divides all the numbers equally.
GCD of 524, 631, 18, 906 is 1
GCD(524, 631, 18, 906) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 524, 631, 18, 906 is 1
GCD(524, 631, 18, 906) = 1
Given Input numbers are 524, 631, 18, 906
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 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Greatest Common Divisior
We found the divisors of 524, 631, 18, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 631, 18, 906 is 1.
Therefore, GCD of numbers 524, 631, 18, 906 is 1
Given Input Data is 524, 631, 18, 906
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 631 is 631
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 906 is 2 x 3 x 151
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, 631) = 330644
GCD(524, 631) = ( 524 x 631 ) / 330644
GCD(524, 631) = 330644 / 330644
GCD(524, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 906
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 906) = 906
GCD(1, 906) = ( 1 x 906 ) / 906
GCD(1, 906) = 906 / 906
GCD(1, 906) = 1
GCD of 524, 631, 18, 906 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 524, 631, 18, 906?
GCD of 524, 631, 18, 906 is 1
2. Where do I get the detailed procedure to find GCD of 524, 631, 18, 906?
You can find a detailed procedure to find GCD of 524, 631, 18, 906 on our page.
3. How to find GCD of 524, 631, 18, 906 on a calculator?
You can find the GCD of 524, 631, 18, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.