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 914, 637, 72, 934 i.e. 1 largest integer that divides all the numbers equally.
GCD of 914, 637, 72, 934 is 1
GCD(914, 637, 72, 934) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 914, 637, 72, 934 is 1
GCD(914, 637, 72, 934) = 1
Given Input numbers are 914, 637, 72, 934
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 934
List of positive integer divisors of 934 that divides 934 without a remainder.
1, 2, 467, 934
Greatest Common Divisior
We found the divisors of 914, 637, 72, 934 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 637, 72, 934 is 1.
Therefore, GCD of numbers 914, 637, 72, 934 is 1
Given Input Data is 914, 637, 72, 934
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 914 is 2 x 457
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 934 is 2 x 467
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(914, 637) = 582218
GCD(914, 637) = ( 914 x 637 ) / 582218
GCD(914, 637) = 582218 / 582218
GCD(914, 637) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 934
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 934) = 934
GCD(1, 934) = ( 1 x 934 ) / 934
GCD(1, 934) = 934 / 934
GCD(1, 934) = 1
GCD of 914, 637, 72, 934 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 914, 637, 72, 934?
GCD of 914, 637, 72, 934 is 1
2. Where do I get the detailed procedure to find GCD of 914, 637, 72, 934?
You can find a detailed procedure to find GCD of 914, 637, 72, 934 on our page.
3. How to find GCD of 914, 637, 72, 934 on a calculator?
You can find the GCD of 914, 637, 72, 934 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.