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 538, 177, 92, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 538, 177, 92, 613 is 1
GCD(538, 177, 92, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 538, 177, 92, 613 is 1
GCD(538, 177, 92, 613) = 1
Given Input numbers are 538, 177, 92, 613
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 538, 177, 92, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 177, 92, 613 is 1.
Therefore, GCD of numbers 538, 177, 92, 613 is 1
Given Input Data is 538, 177, 92, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 538 is 2 x 269
Prime Factorization of 177 is 3 x 59
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 613 is 613
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(538, 177) = 95226
GCD(538, 177) = ( 538 x 177 ) / 95226
GCD(538, 177) = 95226 / 95226
GCD(538, 177) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 92) = 92
GCD(1, 92) = ( 1 x 92 ) / 92
GCD(1, 92) = 92 / 92
GCD(1, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
GCD(1, 613) = 613 / 613
GCD(1, 613) = 1
GCD of 538, 177, 92, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 538, 177, 92, 613?
GCD of 538, 177, 92, 613 is 1
2. Where do I get the detailed procedure to find GCD of 538, 177, 92, 613?
You can find a detailed procedure to find GCD of 538, 177, 92, 613 on our page.
3. How to find GCD of 538, 177, 92, 613 on a calculator?
You can find the GCD of 538, 177, 92, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.