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 371, 931, 27, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 371, 931, 27, 588 is 1
GCD(371, 931, 27, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 371, 931, 27, 588 is 1
GCD(371, 931, 27, 588) = 1
Given Input numbers are 371, 931, 27, 588
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 371, 931, 27, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 931, 27, 588 is 1.
Therefore, GCD of numbers 371, 931, 27, 588 is 1
Given Input Data is 371, 931, 27, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 371 is 7 x 53
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 588 is 2 x 2 x 3 x 7 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(371, 931) = 49343
GCD(371, 931) = ( 371 x 931 ) / 49343
GCD(371, 931) = 345401 / 49343
GCD(371, 931) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 27) = 189
GCD(7, 27) = ( 7 x 27 ) / 189
GCD(7, 27) = 189 / 189
GCD(7, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 371, 931, 27, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 371, 931, 27, 588?
GCD of 371, 931, 27, 588 is 1
2. Where do I get the detailed procedure to find GCD of 371, 931, 27, 588?
You can find a detailed procedure to find GCD of 371, 931, 27, 588 on our page.
3. How to find GCD of 371, 931, 27, 588 on a calculator?
You can find the GCD of 371, 931, 27, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.