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 900, 908, 702 i.e. 2 largest integer that divides all the numbers equally.
GCD of 900, 908, 702 is 2
GCD(900, 908, 702) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 900, 908, 702 is 2
GCD(900, 908, 702) = 2
Given Input numbers are 900, 908, 702
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 900, 908, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 908, 702 is 2.
Therefore, GCD of numbers 900, 908, 702 is 2
Given Input Data is 900, 908, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
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(900, 908) = 204300
GCD(900, 908) = ( 900 x 908 ) / 204300
GCD(900, 908) = 817200 / 204300
GCD(900, 908) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 702) = 1404
GCD(4, 702) = ( 4 x 702 ) / 1404
GCD(4, 702) = 2808 / 1404
GCD(4, 702) = 2
GCD of 900, 908, 702 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 900, 908, 702?
GCD of 900, 908, 702 is 2
2. Where do I get the detailed procedure to find GCD of 900, 908, 702?
You can find a detailed procedure to find GCD of 900, 908, 702 on our page.
3. How to find GCD of 900, 908, 702 on a calculator?
You can find the GCD of 900, 908, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.