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 118, 322, 61, 124 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 322, 61, 124 is 1
GCD(118, 322, 61, 124) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 322, 61, 124 is 1
GCD(118, 322, 61, 124) = 1
Given Input numbers are 118, 322, 61, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 118, 322, 61, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 322, 61, 124 is 1.
Therefore, GCD of numbers 118, 322, 61, 124 is 1
Given Input Data is 118, 322, 61, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 61 is 61
Prime Factorization of 124 is 2 x 2 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(118, 322) = 18998
GCD(118, 322) = ( 118 x 322 ) / 18998
GCD(118, 322) = 37996 / 18998
GCD(118, 322) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
GCD of 118, 322, 61, 124 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 322, 61, 124?
GCD of 118, 322, 61, 124 is 1
2. Where do I get the detailed procedure to find GCD of 118, 322, 61, 124?
You can find a detailed procedure to find GCD of 118, 322, 61, 124 on our page.
3. How to find GCD of 118, 322, 61, 124 on a calculator?
You can find the GCD of 118, 322, 61, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.