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 907, 426, 72, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 907, 426, 72, 109 is 1
GCD(907, 426, 72, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 907, 426, 72, 109 is 1
GCD(907, 426, 72, 109) = 1
Given Input numbers are 907, 426, 72, 109
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
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 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 907, 426, 72, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 907, 426, 72, 109 is 1.
Therefore, GCD of numbers 907, 426, 72, 109 is 1
Given Input Data is 907, 426, 72, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 907 is 907
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 109 is 109
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(907, 426) = 386382
GCD(907, 426) = ( 907 x 426 ) / 386382
GCD(907, 426) = 386382 / 386382
GCD(907, 426) = 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 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 907, 426, 72, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 907, 426, 72, 109?
GCD of 907, 426, 72, 109 is 1
2. Where do I get the detailed procedure to find GCD of 907, 426, 72, 109?
You can find a detailed procedure to find GCD of 907, 426, 72, 109 on our page.
3. How to find GCD of 907, 426, 72, 109 on a calculator?
You can find the GCD of 907, 426, 72, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.