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, 368, 688, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 368, 688, 697 is 1
GCD(297, 368, 688, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 368, 688, 697 is 1
GCD(297, 368, 688, 697) = 1
Given Input numbers are 297, 368, 688, 697
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 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 297, 368, 688, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 368, 688, 697 is 1.
Therefore, GCD of numbers 297, 368, 688, 697 is 1
Given Input Data is 297, 368, 688, 697
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 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 697 is 17 x 41
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, 368) = 109296
GCD(297, 368) = ( 297 x 368 ) / 109296
GCD(297, 368) = 109296 / 109296
GCD(297, 368) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
GCD of 297, 368, 688, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 368, 688, 697?
GCD of 297, 368, 688, 697 is 1
2. Where do I get the detailed procedure to find GCD of 297, 368, 688, 697?
You can find a detailed procedure to find GCD of 297, 368, 688, 697 on our page.
3. How to find GCD of 297, 368, 688, 697 on a calculator?
You can find the GCD of 297, 368, 688, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.