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, 848, 315, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 848, 315, 635 is 1
GCD(501, 848, 315, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 848, 315, 635 is 1
GCD(501, 848, 315, 635) = 1
Given Input numbers are 501, 848, 315, 635
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 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 501, 848, 315, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 848, 315, 635 is 1.
Therefore, GCD of numbers 501, 848, 315, 635 is 1
Given Input Data is 501, 848, 315, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 635 is 5 x 127
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, 848) = 424848
GCD(501, 848) = ( 501 x 848 ) / 424848
GCD(501, 848) = 424848 / 424848
GCD(501, 848) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 315
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
GCD(1, 315) = 315 / 315
GCD(1, 315) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 635) = 635
GCD(1, 635) = ( 1 x 635 ) / 635
GCD(1, 635) = 635 / 635
GCD(1, 635) = 1
GCD of 501, 848, 315, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 848, 315, 635?
GCD of 501, 848, 315, 635 is 1
2. Where do I get the detailed procedure to find GCD of 501, 848, 315, 635?
You can find a detailed procedure to find GCD of 501, 848, 315, 635 on our page.
3. How to find GCD of 501, 848, 315, 635 on a calculator?
You can find the GCD of 501, 848, 315, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.