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, 901, 59, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 901, 59, 971 is 1
GCD(520, 901, 59, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 901, 59, 971 is 1
GCD(520, 901, 59, 971) = 1
Given Input numbers are 520, 901, 59, 971
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 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 520, 901, 59, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 901, 59, 971 is 1.
Therefore, GCD of numbers 520, 901, 59, 971 is 1
Given Input Data is 520, 901, 59, 971
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 901 is 17 x 53
Prime Factorization of 59 is 59
Prime Factorization of 971 is 971
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, 901) = 468520
GCD(520, 901) = ( 520 x 901 ) / 468520
GCD(520, 901) = 468520 / 468520
GCD(520, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
GCD of 520, 901, 59, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 901, 59, 971?
GCD of 520, 901, 59, 971 is 1
2. Where do I get the detailed procedure to find GCD of 520, 901, 59, 971?
You can find a detailed procedure to find GCD of 520, 901, 59, 971 on our page.
3. How to find GCD of 520, 901, 59, 971 on a calculator?
You can find the GCD of 520, 901, 59, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.