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 208, 903, 37, 672 i.e. 1 largest integer that divides all the numbers equally.
GCD of 208, 903, 37, 672 is 1
GCD(208, 903, 37, 672) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 208, 903, 37, 672 is 1
GCD(208, 903, 37, 672) = 1
Given Input numbers are 208, 903, 37, 672
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Greatest Common Divisior
We found the divisors of 208, 903, 37, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 903, 37, 672 is 1.
Therefore, GCD of numbers 208, 903, 37, 672 is 1
Given Input Data is 208, 903, 37, 672
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 37 is 37
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
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(208, 903) = 187824
GCD(208, 903) = ( 208 x 903 ) / 187824
GCD(208, 903) = 187824 / 187824
GCD(208, 903) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
GCD(1, 672) = 672 / 672
GCD(1, 672) = 1
GCD of 208, 903, 37, 672 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 208, 903, 37, 672?
GCD of 208, 903, 37, 672 is 1
2. Where do I get the detailed procedure to find GCD of 208, 903, 37, 672?
You can find a detailed procedure to find GCD of 208, 903, 37, 672 on our page.
3. How to find GCD of 208, 903, 37, 672 on a calculator?
You can find the GCD of 208, 903, 37, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.