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 507, 831, 83, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 507, 831, 83, 631 is 1
GCD(507, 831, 83, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 831, 83, 631 is 1
GCD(507, 831, 83, 631) = 1
Given Input numbers are 507, 831, 83, 631
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 507, 831, 83, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 831, 83, 631 is 1.
Therefore, GCD of numbers 507, 831, 83, 631 is 1
Given Input Data is 507, 831, 83, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 831 is 3 x 277
Prime Factorization of 83 is 83
Prime Factorization of 631 is 631
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(507, 831) = 140439
GCD(507, 831) = ( 507 x 831 ) / 140439
GCD(507, 831) = 421317 / 140439
GCD(507, 831) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 83) = 249
GCD(3, 83) = ( 3 x 83 ) / 249
GCD(3, 83) = 249 / 249
GCD(3, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 631) = 631
GCD(1, 631) = ( 1 x 631 ) / 631
GCD(1, 631) = 631 / 631
GCD(1, 631) = 1
GCD of 507, 831, 83, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 831, 83, 631?
GCD of 507, 831, 83, 631 is 1
2. Where do I get the detailed procedure to find GCD of 507, 831, 83, 631?
You can find a detailed procedure to find GCD of 507, 831, 83, 631 on our page.
3. How to find GCD of 507, 831, 83, 631 on a calculator?
You can find the GCD of 507, 831, 83, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.