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 31, 731, 602, 252 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 731, 602, 252 is 1
GCD(31, 731, 602, 252) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 731, 602, 252 is 1
GCD(31, 731, 602, 252) = 1
Given Input numbers are 31, 731, 602, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greatest Common Divisior
We found the divisors of 31, 731, 602, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 731, 602, 252 is 1.
Therefore, GCD of numbers 31, 731, 602, 252 is 1
Given Input Data is 31, 731, 602, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 731 is 17 x 43
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
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(31, 731) = 22661
GCD(31, 731) = ( 31 x 731 ) / 22661
GCD(31, 731) = 22661 / 22661
GCD(31, 731) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 602) = 602
GCD(1, 602) = ( 1 x 602 ) / 602
GCD(1, 602) = 602 / 602
GCD(1, 602) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
GCD(1, 252) = 252 / 252
GCD(1, 252) = 1
GCD of 31, 731, 602, 252 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 731, 602, 252?
GCD of 31, 731, 602, 252 is 1
2. Where do I get the detailed procedure to find GCD of 31, 731, 602, 252?
You can find a detailed procedure to find GCD of 31, 731, 602, 252 on our page.
3. How to find GCD of 31, 731, 602, 252 on a calculator?
You can find the GCD of 31, 731, 602, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.