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, 979, 289, 657 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 979, 289, 657 is 1
GCD(675, 979, 289, 657) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 979, 289, 657 is 1
GCD(675, 979, 289, 657) = 1
Given Input numbers are 675, 979, 289, 657
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 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Greatest Common Divisior
We found the divisors of 675, 979, 289, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 979, 289, 657 is 1.
Therefore, GCD of numbers 675, 979, 289, 657 is 1
Given Input Data is 675, 979, 289, 657
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 979 is 11 x 89
Prime Factorization of 289 is 17 x 17
Prime Factorization of 657 is 3 x 3 x 73
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, 979) = 660825
GCD(675, 979) = ( 675 x 979 ) / 660825
GCD(675, 979) = 660825 / 660825
GCD(675, 979) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
GCD(1, 657) = 657 / 657
GCD(1, 657) = 1
GCD of 675, 979, 289, 657 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 979, 289, 657?
GCD of 675, 979, 289, 657 is 1
2. Where do I get the detailed procedure to find GCD of 675, 979, 289, 657?
You can find a detailed procedure to find GCD of 675, 979, 289, 657 on our page.
3. How to find GCD of 675, 979, 289, 657 on a calculator?
You can find the GCD of 675, 979, 289, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.