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 56, 370, 387, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 370, 387, 931 is 1
GCD(56, 370, 387, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 370, 387, 931 is 1
GCD(56, 370, 387, 931) = 1
Given Input numbers are 56, 370, 387, 931
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Greatest Common Divisior
We found the divisors of 56, 370, 387, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 370, 387, 931 is 1.
Therefore, GCD of numbers 56, 370, 387, 931 is 1
Given Input Data is 56, 370, 387, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 931 is 7 x 7 x 19
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(56, 370) = 10360
GCD(56, 370) = ( 56 x 370 ) / 10360
GCD(56, 370) = 20720 / 10360
GCD(56, 370) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 387) = 774
GCD(2, 387) = ( 2 x 387 ) / 774
GCD(2, 387) = 774 / 774
GCD(2, 387) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
GCD of 56, 370, 387, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 370, 387, 931?
GCD of 56, 370, 387, 931 is 1
2. Where do I get the detailed procedure to find GCD of 56, 370, 387, 931?
You can find a detailed procedure to find GCD of 56, 370, 387, 931 on our page.
3. How to find GCD of 56, 370, 387, 931 on a calculator?
You can find the GCD of 56, 370, 387, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.