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, 935, 64, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 935, 64, 371 is 1
GCD(307, 935, 64, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 935, 64, 371 is 1
GCD(307, 935, 64, 371) = 1
Given Input numbers are 307, 935, 64, 371
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 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 307, 935, 64, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 935, 64, 371 is 1.
Therefore, GCD of numbers 307, 935, 64, 371 is 1
Given Input Data is 307, 935, 64, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 935 is 5 x 11 x 17
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 371 is 7 x 53
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, 935) = 287045
GCD(307, 935) = ( 307 x 935 ) / 287045
GCD(307, 935) = 287045 / 287045
GCD(307, 935) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
GCD of 307, 935, 64, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 935, 64, 371?
GCD of 307, 935, 64, 371 is 1
2. Where do I get the detailed procedure to find GCD of 307, 935, 64, 371?
You can find a detailed procedure to find GCD of 307, 935, 64, 371 on our page.
3. How to find GCD of 307, 935, 64, 371 on a calculator?
You can find the GCD of 307, 935, 64, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.