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, 160, 325, 620 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 160, 325, 620 is 1
GCD(31, 160, 325, 620) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 160, 325, 620 is 1
GCD(31, 160, 325, 620) = 1
Given Input numbers are 31, 160, 325, 620
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 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Greatest Common Divisior
We found the divisors of 31, 160, 325, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 160, 325, 620 is 1.
Therefore, GCD of numbers 31, 160, 325, 620 is 1
Given Input Data is 31, 160, 325, 620
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 620 is 2 x 2 x 5 x 31
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, 160) = 4960
GCD(31, 160) = ( 31 x 160 ) / 4960
GCD(31, 160) = 4960 / 4960
GCD(31, 160) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 325) = 325
GCD(1, 325) = ( 1 x 325 ) / 325
GCD(1, 325) = 325 / 325
GCD(1, 325) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 620) = 620
GCD(1, 620) = ( 1 x 620 ) / 620
GCD(1, 620) = 620 / 620
GCD(1, 620) = 1
GCD of 31, 160, 325, 620 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 160, 325, 620?
GCD of 31, 160, 325, 620 is 1
2. Where do I get the detailed procedure to find GCD of 31, 160, 325, 620?
You can find a detailed procedure to find GCD of 31, 160, 325, 620 on our page.
3. How to find GCD of 31, 160, 325, 620 on a calculator?
You can find the GCD of 31, 160, 325, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.