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, 956, 208, 127 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 956, 208, 127 is 1
GCD(520, 956, 208, 127) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 956, 208, 127 is 1
GCD(520, 956, 208, 127) = 1
Given Input numbers are 520, 956, 208, 127
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 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
Greatest Common Divisior
We found the divisors of 520, 956, 208, 127 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 956, 208, 127 is 1.
Therefore, GCD of numbers 520, 956, 208, 127 is 1
Given Input Data is 520, 956, 208, 127
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 956 is 2 x 2 x 239
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 127 is 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(520, 956) = 124280
GCD(520, 956) = ( 520 x 956 ) / 124280
GCD(520, 956) = 497120 / 124280
GCD(520, 956) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 208) = 208
GCD(4, 208) = ( 4 x 208 ) / 208
GCD(4, 208) = 832 / 208
GCD(4, 208) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 127
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 127) = 508
GCD(4, 127) = ( 4 x 127 ) / 508
GCD(4, 127) = 508 / 508
GCD(4, 127) = 1
GCD of 520, 956, 208, 127 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 956, 208, 127?
GCD of 520, 956, 208, 127 is 1
2. Where do I get the detailed procedure to find GCD of 520, 956, 208, 127?
You can find a detailed procedure to find GCD of 520, 956, 208, 127 on our page.
3. How to find GCD of 520, 956, 208, 127 on a calculator?
You can find the GCD of 520, 956, 208, 127 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.