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 59, 335, 294, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 335, 294, 188 is 1
GCD(59, 335, 294, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 335, 294, 188 is 1
GCD(59, 335, 294, 188) = 1
Given Input numbers are 59, 335, 294, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 59, 335, 294, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 335, 294, 188 is 1.
Therefore, GCD of numbers 59, 335, 294, 188 is 1
Given Input Data is 59, 335, 294, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 335 is 5 x 67
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 188 is 2 x 2 x 47
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(59, 335) = 19765
GCD(59, 335) = ( 59 x 335 ) / 19765
GCD(59, 335) = 19765 / 19765
GCD(59, 335) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 294
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 294) = 294
GCD(1, 294) = ( 1 x 294 ) / 294
GCD(1, 294) = 294 / 294
GCD(1, 294) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 59, 335, 294, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 335, 294, 188?
GCD of 59, 335, 294, 188 is 1
2. Where do I get the detailed procedure to find GCD of 59, 335, 294, 188?
You can find a detailed procedure to find GCD of 59, 335, 294, 188 on our page.
3. How to find GCD of 59, 335, 294, 188 on a calculator?
You can find the GCD of 59, 335, 294, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.