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, 296, 35, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 296, 35, 378 is 1
GCD(307, 296, 35, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 296, 35, 378 is 1
GCD(307, 296, 35, 378) = 1
Given Input numbers are 307, 296, 35, 378
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 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 307, 296, 35, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 296, 35, 378 is 1.
Therefore, GCD of numbers 307, 296, 35, 378 is 1
Given Input Data is 307, 296, 35, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 35 is 5 x 7
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
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, 296) = 90872
GCD(307, 296) = ( 307 x 296 ) / 90872
GCD(307, 296) = 90872 / 90872
GCD(307, 296) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
GCD of 307, 296, 35, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 296, 35, 378?
GCD of 307, 296, 35, 378 is 1
2. Where do I get the detailed procedure to find GCD of 307, 296, 35, 378?
You can find a detailed procedure to find GCD of 307, 296, 35, 378 on our page.
3. How to find GCD of 307, 296, 35, 378 on a calculator?
You can find the GCD of 307, 296, 35, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.