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, 319, 696, 358 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 319, 696, 358 is 1
GCD(307, 319, 696, 358) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 319, 696, 358 is 1
GCD(307, 319, 696, 358) = 1
Given Input numbers are 307, 319, 696, 358
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 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Greatest Common Divisior
We found the divisors of 307, 319, 696, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 319, 696, 358 is 1.
Therefore, GCD of numbers 307, 319, 696, 358 is 1
Given Input Data is 307, 319, 696, 358
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 319 is 11 x 29
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 358 is 2 x 179
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, 319) = 97933
GCD(307, 319) = ( 307 x 319 ) / 97933
GCD(307, 319) = 97933 / 97933
GCD(307, 319) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
GCD(1, 696) = 696 / 696
GCD(1, 696) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
GCD of 307, 319, 696, 358 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 319, 696, 358?
GCD of 307, 319, 696, 358 is 1
2. Where do I get the detailed procedure to find GCD of 307, 319, 696, 358?
You can find a detailed procedure to find GCD of 307, 319, 696, 358 on our page.
3. How to find GCD of 307, 319, 696, 358 on a calculator?
You can find the GCD of 307, 319, 696, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.