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 501, 275, 634, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 275, 634, 798 is 1
GCD(501, 275, 634, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 275, 634, 798 is 1
GCD(501, 275, 634, 798) = 1
Given Input numbers are 501, 275, 634, 798
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 501, 275, 634, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 275, 634, 798 is 1.
Therefore, GCD of numbers 501, 275, 634, 798 is 1
Given Input Data is 501, 275, 634, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 634 is 2 x 317
Prime Factorization of 798 is 2 x 3 x 7 x 19
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(501, 275) = 137775
GCD(501, 275) = ( 501 x 275 ) / 137775
GCD(501, 275) = 137775 / 137775
GCD(501, 275) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
GCD(1, 634) = 634 / 634
GCD(1, 634) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 501, 275, 634, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 275, 634, 798?
GCD of 501, 275, 634, 798 is 1
2. Where do I get the detailed procedure to find GCD of 501, 275, 634, 798?
You can find a detailed procedure to find GCD of 501, 275, 634, 798 on our page.
3. How to find GCD of 501, 275, 634, 798 on a calculator?
You can find the GCD of 501, 275, 634, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.