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 342, 878, 31, 507 i.e. 1 largest integer that divides all the numbers equally.
GCD of 342, 878, 31, 507 is 1
GCD(342, 878, 31, 507) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 878, 31, 507 is 1
GCD(342, 878, 31, 507) = 1
Given Input numbers are 342, 878, 31, 507
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Greatest Common Divisior
We found the divisors of 342, 878, 31, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 878, 31, 507 is 1.
Therefore, GCD of numbers 342, 878, 31, 507 is 1
Given Input Data is 342, 878, 31, 507
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 878 is 2 x 439
Prime Factorization of 31 is 31
Prime Factorization of 507 is 3 x 13 x 13
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(342, 878) = 150138
GCD(342, 878) = ( 342 x 878 ) / 150138
GCD(342, 878) = 300276 / 150138
GCD(342, 878) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 31) = 62
GCD(2, 31) = ( 2 x 31 ) / 62
GCD(2, 31) = 62 / 62
GCD(2, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
GCD of 342, 878, 31, 507 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 878, 31, 507?
GCD of 342, 878, 31, 507 is 1
2. Where do I get the detailed procedure to find GCD of 342, 878, 31, 507?
You can find a detailed procedure to find GCD of 342, 878, 31, 507 on our page.
3. How to find GCD of 342, 878, 31, 507 on a calculator?
You can find the GCD of 342, 878, 31, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.