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 731, 970, 204, 387 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 970, 204, 387 is 1
GCD(731, 970, 204, 387) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 970, 204, 387 is 1
GCD(731, 970, 204, 387) = 1
Given Input numbers are 731, 970, 204, 387
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Greatest Common Divisior
We found the divisors of 731, 970, 204, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 970, 204, 387 is 1.
Therefore, GCD of numbers 731, 970, 204, 387 is 1
Given Input Data is 731, 970, 204, 387
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 387 is 3 x 3 x 43
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(731, 970) = 709070
GCD(731, 970) = ( 731 x 970 ) / 709070
GCD(731, 970) = 709070 / 709070
GCD(731, 970) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
GCD(1, 387) = 387 / 387
GCD(1, 387) = 1
GCD of 731, 970, 204, 387 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 970, 204, 387?
GCD of 731, 970, 204, 387 is 1
2. Where do I get the detailed procedure to find GCD of 731, 970, 204, 387?
You can find a detailed procedure to find GCD of 731, 970, 204, 387 on our page.
3. How to find GCD of 731, 970, 204, 387 on a calculator?
You can find the GCD of 731, 970, 204, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.