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 387, 731, 696, 187 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 731, 696, 187 is 1
GCD(387, 731, 696, 187) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 731, 696, 187 is 1
GCD(387, 731, 696, 187) = 1
Given Input numbers are 387, 731, 696, 187
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Greatest Common Divisior
We found the divisors of 387, 731, 696, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 731, 696, 187 is 1.
Therefore, GCD of numbers 387, 731, 696, 187 is 1
Given Input Data is 387, 731, 696, 187
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 731 is 17 x 43
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 187 is 11 x 17
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(387, 731) = 6579
GCD(387, 731) = ( 387 x 731 ) / 6579
GCD(387, 731) = 282897 / 6579
GCD(387, 731) = 43
Step2:
Here we consider the GCD from the above i.e. 43 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(43, 696) = 29928
GCD(43, 696) = ( 43 x 696 ) / 29928
GCD(43, 696) = 29928 / 29928
GCD(43, 696) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 187) = 187
GCD(1, 187) = ( 1 x 187 ) / 187
GCD(1, 187) = 187 / 187
GCD(1, 187) = 1
GCD of 387, 731, 696, 187 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 731, 696, 187?
GCD of 387, 731, 696, 187 is 1
2. Where do I get the detailed procedure to find GCD of 387, 731, 696, 187?
You can find a detailed procedure to find GCD of 387, 731, 696, 187 on our page.
3. How to find GCD of 387, 731, 696, 187 on a calculator?
You can find the GCD of 387, 731, 696, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.