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, 763, 313, 311 i.e. 1 largest integer that divides all the numbers equally.
GCD of 902, 763, 313, 311 is 1
GCD(902, 763, 313, 311) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 902, 763, 313, 311 is 1
GCD(902, 763, 313, 311) = 1
Given Input numbers are 902, 763, 313, 311
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 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Greatest Common Divisior
We found the divisors of 902, 763, 313, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 763, 313, 311 is 1.
Therefore, GCD of numbers 902, 763, 313, 311 is 1
Given Input Data is 902, 763, 313, 311
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 763 is 7 x 109
Prime Factorization of 313 is 313
Prime Factorization of 311 is 311
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, 763) = 688226
GCD(902, 763) = ( 902 x 763 ) / 688226
GCD(902, 763) = 688226 / 688226
GCD(902, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 313
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
GCD(1, 313) = 313 / 313
GCD(1, 313) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
GCD(1, 311) = 311 / 311
GCD(1, 311) = 1
GCD of 902, 763, 313, 311 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 902, 763, 313, 311?
GCD of 902, 763, 313, 311 is 1
2. Where do I get the detailed procedure to find GCD of 902, 763, 313, 311?
You can find a detailed procedure to find GCD of 902, 763, 313, 311 on our page.
3. How to find GCD of 902, 763, 313, 311 on a calculator?
You can find the GCD of 902, 763, 313, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.