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 592, 298, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 592, 298, 137 is 1
GCD(592, 298, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 592, 298, 137 is 1
GCD(592, 298, 137) = 1
Given Input numbers are 592, 298, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 592, 298, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 298, 137 is 1.
Therefore, GCD of numbers 592, 298, 137 is 1
Given Input Data is 592, 298, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 298 is 2 x 149
Prime Factorization of 137 is 137
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(592, 298) = 88208
GCD(592, 298) = ( 592 x 298 ) / 88208
GCD(592, 298) = 176416 / 88208
GCD(592, 298) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 137) = 274
GCD(2, 137) = ( 2 x 137 ) / 274
GCD(2, 137) = 274 / 274
GCD(2, 137) = 1
GCD of 592, 298, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 592, 298, 137?
GCD of 592, 298, 137 is 1
2. Where do I get the detailed procedure to find GCD of 592, 298, 137?
You can find a detailed procedure to find GCD of 592, 298, 137 on our page.
3. How to find GCD of 592, 298, 137 on a calculator?
You can find the GCD of 592, 298, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.