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 625, 368, 42, 131 i.e. 1 largest integer that divides all the numbers equally.
GCD of 625, 368, 42, 131 is 1
GCD(625, 368, 42, 131) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 625, 368, 42, 131 is 1
GCD(625, 368, 42, 131) = 1
Given Input numbers are 625, 368, 42, 131
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Greatest Common Divisior
We found the divisors of 625, 368, 42, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 368, 42, 131 is 1.
Therefore, GCD of numbers 625, 368, 42, 131 is 1
Given Input Data is 625, 368, 42, 131
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 131 is 131
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(625, 368) = 230000
GCD(625, 368) = ( 625 x 368 ) / 230000
GCD(625, 368) = 230000 / 230000
GCD(625, 368) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
GCD(1, 131) = 131 / 131
GCD(1, 131) = 1
GCD of 625, 368, 42, 131 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 625, 368, 42, 131?
GCD of 625, 368, 42, 131 is 1
2. Where do I get the detailed procedure to find GCD of 625, 368, 42, 131?
You can find a detailed procedure to find GCD of 625, 368, 42, 131 on our page.
3. How to find GCD of 625, 368, 42, 131 on a calculator?
You can find the GCD of 625, 368, 42, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.