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 684, 900, 937, 211 i.e. 1 largest integer that divides all the numbers equally.
GCD of 684, 900, 937, 211 is 1
GCD(684, 900, 937, 211) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 684, 900, 937, 211 is 1
GCD(684, 900, 937, 211) = 1
Given Input numbers are 684, 900, 937, 211
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Greatest Common Divisior
We found the divisors of 684, 900, 937, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 900, 937, 211 is 1.
Therefore, GCD of numbers 684, 900, 937, 211 is 1
Given Input Data is 684, 900, 937, 211
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 937 is 937
Prime Factorization of 211 is 211
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(684, 900) = 17100
GCD(684, 900) = ( 684 x 900 ) / 17100
GCD(684, 900) = 615600 / 17100
GCD(684, 900) = 36
Step2:
Here we consider the GCD from the above i.e. 36 as first number and the next as 937
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(36, 937) = 33732
GCD(36, 937) = ( 36 x 937 ) / 33732
GCD(36, 937) = 33732 / 33732
GCD(36, 937) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 211) = 211
GCD(1, 211) = ( 1 x 211 ) / 211
GCD(1, 211) = 211 / 211
GCD(1, 211) = 1
GCD of 684, 900, 937, 211 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 684, 900, 937, 211?
GCD of 684, 900, 937, 211 is 1
2. Where do I get the detailed procedure to find GCD of 684, 900, 937, 211?
You can find a detailed procedure to find GCD of 684, 900, 937, 211 on our page.
3. How to find GCD of 684, 900, 937, 211 on a calculator?
You can find the GCD of 684, 900, 937, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.