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, 994, 34, 404 i.e. 2 largest integer that divides all the numbers equally.
GCD of 902, 994, 34, 404 is 2
GCD(902, 994, 34, 404) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 902, 994, 34, 404 is 2
GCD(902, 994, 34, 404) = 2
Given Input numbers are 902, 994, 34, 404
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 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Greatest Common Divisior
We found the divisors of 902, 994, 34, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 994, 34, 404 is 2.
Therefore, GCD of numbers 902, 994, 34, 404 is 2
Given Input Data is 902, 994, 34, 404
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 994 is 2 x 7 x 71
Prime Factorization of 34 is 2 x 17
Prime Factorization of 404 is 2 x 2 x 101
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 994) = 448294
GCD(902, 994) = ( 902 x 994 ) / 448294
GCD(902, 994) = 896588 / 448294
GCD(902, 994) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 34) = 34
GCD(2, 34) = ( 2 x 34 ) / 34
GCD(2, 34) = 68 / 34
GCD(2, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 404) = 404
GCD(2, 404) = ( 2 x 404 ) / 404
GCD(2, 404) = 808 / 404
GCD(2, 404) = 2
GCD of 902, 994, 34, 404 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 902, 994, 34, 404?
GCD of 902, 994, 34, 404 is 2
2. Where do I get the detailed procedure to find GCD of 902, 994, 34, 404?
You can find a detailed procedure to find GCD of 902, 994, 34, 404 on our page.
3. How to find GCD of 902, 994, 34, 404 on a calculator?
You can find the GCD of 902, 994, 34, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.