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 520, 771, 272, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 771, 272, 501 is 1
GCD(520, 771, 272, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 771, 272, 501 is 1
GCD(520, 771, 272, 501) = 1
Given Input numbers are 520, 771, 272, 501
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 520, 771, 272, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 771, 272, 501 is 1.
Therefore, GCD of numbers 520, 771, 272, 501 is 1
Given Input Data is 520, 771, 272, 501
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 771 is 3 x 257
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 501 is 3 x 167
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(520, 771) = 400920
GCD(520, 771) = ( 520 x 771 ) / 400920
GCD(520, 771) = 400920 / 400920
GCD(520, 771) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
GCD(1, 501) = 501 / 501
GCD(1, 501) = 1
GCD of 520, 771, 272, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 771, 272, 501?
GCD of 520, 771, 272, 501 is 1
2. Where do I get the detailed procedure to find GCD of 520, 771, 272, 501?
You can find a detailed procedure to find GCD of 520, 771, 272, 501 on our page.
3. How to find GCD of 520, 771, 272, 501 on a calculator?
You can find the GCD of 520, 771, 272, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.