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 147, 313, 687, 389 i.e. 1 largest integer that divides all the numbers equally.
GCD of 147, 313, 687, 389 is 1
GCD(147, 313, 687, 389) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 313, 687, 389 is 1
GCD(147, 313, 687, 389) = 1
Given Input numbers are 147, 313, 687, 389
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Greatest Common Divisior
We found the divisors of 147, 313, 687, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 313, 687, 389 is 1.
Therefore, GCD of numbers 147, 313, 687, 389 is 1
Given Input Data is 147, 313, 687, 389
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 313 is 313
Prime Factorization of 687 is 3 x 229
Prime Factorization of 389 is 389
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(147, 313) = 46011
GCD(147, 313) = ( 147 x 313 ) / 46011
GCD(147, 313) = 46011 / 46011
GCD(147, 313) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 389) = 389
GCD(1, 389) = ( 1 x 389 ) / 389
GCD(1, 389) = 389 / 389
GCD(1, 389) = 1
GCD of 147, 313, 687, 389 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 313, 687, 389?
GCD of 147, 313, 687, 389 is 1
2. Where do I get the detailed procedure to find GCD of 147, 313, 687, 389?
You can find a detailed procedure to find GCD of 147, 313, 687, 389 on our page.
3. How to find GCD of 147, 313, 687, 389 on a calculator?
You can find the GCD of 147, 313, 687, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.