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 902, 853, 24, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 902, 853, 24, 731 is 1
GCD(902, 853, 24, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 902, 853, 24, 731 is 1
GCD(902, 853, 24, 731) = 1
Given Input numbers are 902, 853, 24, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 902, 853, 24, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 853, 24, 731 is 1.
Therefore, GCD of numbers 902, 853, 24, 731 is 1
Given Input Data is 902, 853, 24, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 853 is 853
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 731 is 17 x 43
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(902, 853) = 769406
GCD(902, 853) = ( 902 x 853 ) / 769406
GCD(902, 853) = 769406 / 769406
GCD(902, 853) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 902, 853, 24, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 902, 853, 24, 731?
GCD of 902, 853, 24, 731 is 1
2. Where do I get the detailed procedure to find GCD of 902, 853, 24, 731?
You can find a detailed procedure to find GCD of 902, 853, 24, 731 on our page.
3. How to find GCD of 902, 853, 24, 731 on a calculator?
You can find the GCD of 902, 853, 24, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.