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 120, 664, 31, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 120, 664, 31, 109 is 1
GCD(120, 664, 31, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 120, 664, 31, 109 is 1
GCD(120, 664, 31, 109) = 1
Given Input numbers are 120, 664, 31, 109
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 120, 664, 31, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 664, 31, 109 is 1.
Therefore, GCD of numbers 120, 664, 31, 109 is 1
Given Input Data is 120, 664, 31, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 31 is 31
Prime Factorization of 109 is 109
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(120, 664) = 9960
GCD(120, 664) = ( 120 x 664 ) / 9960
GCD(120, 664) = 79680 / 9960
GCD(120, 664) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 31) = 248
GCD(8, 31) = ( 8 x 31 ) / 248
GCD(8, 31) = 248 / 248
GCD(8, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 120, 664, 31, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 120, 664, 31, 109?
GCD of 120, 664, 31, 109 is 1
2. Where do I get the detailed procedure to find GCD of 120, 664, 31, 109?
You can find a detailed procedure to find GCD of 120, 664, 31, 109 on our page.
3. How to find GCD of 120, 664, 31, 109 on a calculator?
You can find the GCD of 120, 664, 31, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.