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 292, 500, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 292, 500, 137 is 1
GCD(292, 500, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 292, 500, 137 is 1
GCD(292, 500, 137) = 1
Given Input numbers are 292, 500, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
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 292, 500, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 500, 137 is 1.
Therefore, GCD of numbers 292, 500, 137 is 1
Given Input Data is 292, 500, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
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(292, 500) = 36500
GCD(292, 500) = ( 292 x 500 ) / 36500
GCD(292, 500) = 146000 / 36500
GCD(292, 500) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 137) = 548
GCD(4, 137) = ( 4 x 137 ) / 548
GCD(4, 137) = 548 / 548
GCD(4, 137) = 1
GCD of 292, 500, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 292, 500, 137?
GCD of 292, 500, 137 is 1
2. Where do I get the detailed procedure to find GCD of 292, 500, 137?
You can find a detailed procedure to find GCD of 292, 500, 137 on our page.
3. How to find GCD of 292, 500, 137 on a calculator?
You can find the GCD of 292, 500, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.