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, 902, 335, 671 i.e. 1 largest integer that divides all the numbers equally.
GCD of 900, 902, 335, 671 is 1
GCD(900, 902, 335, 671) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 900, 902, 335, 671 is 1
GCD(900, 902, 335, 671) = 1
Given Input numbers are 900, 902, 335, 671
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 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Greatest Common Divisior
We found the divisors of 900, 902, 335, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 902, 335, 671 is 1.
Therefore, GCD of numbers 900, 902, 335, 671 is 1
Given Input Data is 900, 902, 335, 671
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 902 is 2 x 11 x 41
Prime Factorization of 335 is 5 x 67
Prime Factorization of 671 is 11 x 61
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(900, 902) = 405900
GCD(900, 902) = ( 900 x 902 ) / 405900
GCD(900, 902) = 811800 / 405900
GCD(900, 902) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 335) = 670
GCD(2, 335) = ( 2 x 335 ) / 670
GCD(2, 335) = 670 / 670
GCD(2, 335) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 671) = 671
GCD(1, 671) = ( 1 x 671 ) / 671
GCD(1, 671) = 671 / 671
GCD(1, 671) = 1
GCD of 900, 902, 335, 671 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 900, 902, 335, 671?
GCD of 900, 902, 335, 671 is 1
2. Where do I get the detailed procedure to find GCD of 900, 902, 335, 671?
You can find a detailed procedure to find GCD of 900, 902, 335, 671 on our page.
3. How to find GCD of 900, 902, 335, 671 on a calculator?
You can find the GCD of 900, 902, 335, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.