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 307, 136, 97, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 136, 97, 704 is 1
GCD(307, 136, 97, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 136, 97, 704 is 1
GCD(307, 136, 97, 704) = 1
Given Input numbers are 307, 136, 97, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 307, 136, 97, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 136, 97, 704 is 1.
Therefore, GCD of numbers 307, 136, 97, 704 is 1
Given Input Data is 307, 136, 97, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 97 is 97
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
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(307, 136) = 41752
GCD(307, 136) = ( 307 x 136 ) / 41752
GCD(307, 136) = 41752 / 41752
GCD(307, 136) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 307, 136, 97, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 136, 97, 704?
GCD of 307, 136, 97, 704 is 1
2. Where do I get the detailed procedure to find GCD of 307, 136, 97, 704?
You can find a detailed procedure to find GCD of 307, 136, 97, 704 on our page.
3. How to find GCD of 307, 136, 97, 704 on a calculator?
You can find the GCD of 307, 136, 97, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.