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 57, 917, 836, 523 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 917, 836, 523 is 1
GCD(57, 917, 836, 523) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 917, 836, 523 is 1
GCD(57, 917, 836, 523) = 1
Given Input numbers are 57, 917, 836, 523
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Greatest Common Divisior
We found the divisors of 57, 917, 836, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 917, 836, 523 is 1.
Therefore, GCD of numbers 57, 917, 836, 523 is 1
Given Input Data is 57, 917, 836, 523
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 917 is 7 x 131
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 523 is 523
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(57, 917) = 52269
GCD(57, 917) = ( 57 x 917 ) / 52269
GCD(57, 917) = 52269 / 52269
GCD(57, 917) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 836) = 836
GCD(1, 836) = ( 1 x 836 ) / 836
GCD(1, 836) = 836 / 836
GCD(1, 836) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
GCD of 57, 917, 836, 523 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 917, 836, 523?
GCD of 57, 917, 836, 523 is 1
2. Where do I get the detailed procedure to find GCD of 57, 917, 836, 523?
You can find a detailed procedure to find GCD of 57, 917, 836, 523 on our page.
3. How to find GCD of 57, 917, 836, 523 on a calculator?
You can find the GCD of 57, 917, 836, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.