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, 579, 59, 942 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 579, 59, 942 is 1
GCD(118, 579, 59, 942) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 579, 59, 942 is 1
GCD(118, 579, 59, 942) = 1
Given Input numbers are 118, 579, 59, 942
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 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 118, 579, 59, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 579, 59, 942 is 1.
Therefore, GCD of numbers 118, 579, 59, 942 is 1
Given Input Data is 118, 579, 59, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 579 is 3 x 193
Prime Factorization of 59 is 59
Prime Factorization of 942 is 2 x 3 x 157
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, 579) = 68322
GCD(118, 579) = ( 118 x 579 ) / 68322
GCD(118, 579) = 68322 / 68322
GCD(118, 579) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
GCD of 118, 579, 59, 942 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 579, 59, 942?
GCD of 118, 579, 59, 942 is 1
2. Where do I get the detailed procedure to find GCD of 118, 579, 59, 942?
You can find a detailed procedure to find GCD of 118, 579, 59, 942 on our page.
3. How to find GCD of 118, 579, 59, 942 on a calculator?
You can find the GCD of 118, 579, 59, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.