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 72, 695, 629, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 695, 629, 397 is 1
GCD(72, 695, 629, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 695, 629, 397 is 1
GCD(72, 695, 629, 397) = 1
Given Input numbers are 72, 695, 629, 397
To find the GCD of numbers using factoring list out all the divisors of each number
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 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 72, 695, 629, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 695, 629, 397 is 1.
Therefore, GCD of numbers 72, 695, 629, 397 is 1
Given Input Data is 72, 695, 629, 397
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 695 is 5 x 139
Prime Factorization of 629 is 17 x 37
Prime Factorization of 397 is 397
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(72, 695) = 50040
GCD(72, 695) = ( 72 x 695 ) / 50040
GCD(72, 695) = 50040 / 50040
GCD(72, 695) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
GCD(1, 397) = 397 / 397
GCD(1, 397) = 1
GCD of 72, 695, 629, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 695, 629, 397?
GCD of 72, 695, 629, 397 is 1
2. Where do I get the detailed procedure to find GCD of 72, 695, 629, 397?
You can find a detailed procedure to find GCD of 72, 695, 629, 397 on our page.
3. How to find GCD of 72, 695, 629, 397 on a calculator?
You can find the GCD of 72, 695, 629, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.