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 427, 314, 955, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 427, 314, 955, 296 is 1
GCD(427, 314, 955, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 427, 314, 955, 296 is 1
GCD(427, 314, 955, 296) = 1
Given Input numbers are 427, 314, 955, 296
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 427, 314, 955, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 314, 955, 296 is 1.
Therefore, GCD of numbers 427, 314, 955, 296 is 1
Given Input Data is 427, 314, 955, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 427 is 7 x 61
Prime Factorization of 314 is 2 x 157
Prime Factorization of 955 is 5 x 191
Prime Factorization of 296 is 2 x 2 x 2 x 37
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(427, 314) = 134078
GCD(427, 314) = ( 427 x 314 ) / 134078
GCD(427, 314) = 134078 / 134078
GCD(427, 314) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 955) = 955
GCD(1, 955) = ( 1 x 955 ) / 955
GCD(1, 955) = 955 / 955
GCD(1, 955) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 427, 314, 955, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 427, 314, 955, 296?
GCD of 427, 314, 955, 296 is 1
2. Where do I get the detailed procedure to find GCD of 427, 314, 955, 296?
You can find a detailed procedure to find GCD of 427, 314, 955, 296 on our page.
3. How to find GCD of 427, 314, 955, 296 on a calculator?
You can find the GCD of 427, 314, 955, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.