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 297, 656, 438, 347 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 656, 438, 347 is 1
GCD(297, 656, 438, 347) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 656, 438, 347 is 1
GCD(297, 656, 438, 347) = 1
Given Input numbers are 297, 656, 438, 347
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Greatest Common Divisior
We found the divisors of 297, 656, 438, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 656, 438, 347 is 1.
Therefore, GCD of numbers 297, 656, 438, 347 is 1
Given Input Data is 297, 656, 438, 347
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 347 is 347
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(297, 656) = 194832
GCD(297, 656) = ( 297 x 656 ) / 194832
GCD(297, 656) = 194832 / 194832
GCD(297, 656) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 347) = 347
GCD(1, 347) = ( 1 x 347 ) / 347
GCD(1, 347) = 347 / 347
GCD(1, 347) = 1
GCD of 297, 656, 438, 347 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 656, 438, 347?
GCD of 297, 656, 438, 347 is 1
2. Where do I get the detailed procedure to find GCD of 297, 656, 438, 347?
You can find a detailed procedure to find GCD of 297, 656, 438, 347 on our page.
3. How to find GCD of 297, 656, 438, 347 on a calculator?
You can find the GCD of 297, 656, 438, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.