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 675, 312, 73, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 312, 73, 797 is 1
GCD(675, 312, 73, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 312, 73, 797 is 1
GCD(675, 312, 73, 797) = 1
Given Input numbers are 675, 312, 73, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 675, 312, 73, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 312, 73, 797 is 1.
Therefore, GCD of numbers 675, 312, 73, 797 is 1
Given Input Data is 675, 312, 73, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 73 is 73
Prime Factorization of 797 is 797
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(675, 312) = 70200
GCD(675, 312) = ( 675 x 312 ) / 70200
GCD(675, 312) = 210600 / 70200
GCD(675, 312) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 73) = 219
GCD(3, 73) = ( 3 x 73 ) / 219
GCD(3, 73) = 219 / 219
GCD(3, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 675, 312, 73, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 312, 73, 797?
GCD of 675, 312, 73, 797 is 1
2. Where do I get the detailed procedure to find GCD of 675, 312, 73, 797?
You can find a detailed procedure to find GCD of 675, 312, 73, 797 on our page.
3. How to find GCD of 675, 312, 73, 797 on a calculator?
You can find the GCD of 675, 312, 73, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.