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 717, 675, 57, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 717, 675, 57, 167 is 1
GCD(717, 675, 57, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 717, 675, 57, 167 is 1
GCD(717, 675, 57, 167) = 1
Given Input numbers are 717, 675, 57, 167
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
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 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 717, 675, 57, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 675, 57, 167 is 1.
Therefore, GCD of numbers 717, 675, 57, 167 is 1
Given Input Data is 717, 675, 57, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 717 is 3 x 239
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 57 is 3 x 19
Prime Factorization of 167 is 167
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(717, 675) = 161325
GCD(717, 675) = ( 717 x 675 ) / 161325
GCD(717, 675) = 483975 / 161325
GCD(717, 675) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 57) = 57
GCD(3, 57) = ( 3 x 57 ) / 57
GCD(3, 57) = 171 / 57
GCD(3, 57) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 167) = 501
GCD(3, 167) = ( 3 x 167 ) / 501
GCD(3, 167) = 501 / 501
GCD(3, 167) = 1
GCD of 717, 675, 57, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 717, 675, 57, 167?
GCD of 717, 675, 57, 167 is 1
2. Where do I get the detailed procedure to find GCD of 717, 675, 57, 167?
You can find a detailed procedure to find GCD of 717, 675, 57, 167 on our page.
3. How to find GCD of 717, 675, 57, 167 on a calculator?
You can find the GCD of 717, 675, 57, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.