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, 608, 31, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 608, 31, 771 is 1
GCD(501, 608, 31, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 608, 31, 771 is 1
GCD(501, 608, 31, 771) = 1
Given Input numbers are 501, 608, 31, 771
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 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 501, 608, 31, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 608, 31, 771 is 1.
Therefore, GCD of numbers 501, 608, 31, 771 is 1
Given Input Data is 501, 608, 31, 771
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 31 is 31
Prime Factorization of 771 is 3 x 257
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, 608) = 304608
GCD(501, 608) = ( 501 x 608 ) / 304608
GCD(501, 608) = 304608 / 304608
GCD(501, 608) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
GCD of 501, 608, 31, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 608, 31, 771?
GCD of 501, 608, 31, 771 is 1
2. Where do I get the detailed procedure to find GCD of 501, 608, 31, 771?
You can find a detailed procedure to find GCD of 501, 608, 31, 771 on our page.
3. How to find GCD of 501, 608, 31, 771 on a calculator?
You can find the GCD of 501, 608, 31, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.