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 539, 377, 500, 422 i.e. 1 largest integer that divides all the numbers equally.
GCD of 539, 377, 500, 422 is 1
GCD(539, 377, 500, 422) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 539, 377, 500, 422 is 1
GCD(539, 377, 500, 422) = 1
Given Input numbers are 539, 377, 500, 422
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
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 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 539, 377, 500, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 377, 500, 422 is 1.
Therefore, GCD of numbers 539, 377, 500, 422 is 1
Given Input Data is 539, 377, 500, 422
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 377 is 13 x 29
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 422 is 2 x 211
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(539, 377) = 203203
GCD(539, 377) = ( 539 x 377 ) / 203203
GCD(539, 377) = 203203 / 203203
GCD(539, 377) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
GCD(1, 500) = 500 / 500
GCD(1, 500) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
GCD(1, 422) = 422 / 422
GCD(1, 422) = 1
GCD of 539, 377, 500, 422 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 539, 377, 500, 422?
GCD of 539, 377, 500, 422 is 1
2. Where do I get the detailed procedure to find GCD of 539, 377, 500, 422?
You can find a detailed procedure to find GCD of 539, 377, 500, 422 on our page.
3. How to find GCD of 539, 377, 500, 422 on a calculator?
You can find the GCD of 539, 377, 500, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.