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 492, 853, 31, 569 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 853, 31, 569 is 1
GCD(492, 853, 31, 569) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 853, 31, 569 is 1
GCD(492, 853, 31, 569) = 1
Given Input numbers are 492, 853, 31, 569
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Greatest Common Divisior
We found the divisors of 492, 853, 31, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 853, 31, 569 is 1.
Therefore, GCD of numbers 492, 853, 31, 569 is 1
Given Input Data is 492, 853, 31, 569
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 853 is 853
Prime Factorization of 31 is 31
Prime Factorization of 569 is 569
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(492, 853) = 419676
GCD(492, 853) = ( 492 x 853 ) / 419676
GCD(492, 853) = 419676 / 419676
GCD(492, 853) = 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 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 569) = 569
GCD(1, 569) = ( 1 x 569 ) / 569
GCD(1, 569) = 569 / 569
GCD(1, 569) = 1
GCD of 492, 853, 31, 569 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 853, 31, 569?
GCD of 492, 853, 31, 569 is 1
2. Where do I get the detailed procedure to find GCD of 492, 853, 31, 569?
You can find a detailed procedure to find GCD of 492, 853, 31, 569 on our page.
3. How to find GCD of 492, 853, 31, 569 on a calculator?
You can find the GCD of 492, 853, 31, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.