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 10, 964, 387, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 964, 387, 291 is 1
GCD(10, 964, 387, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 964, 387, 291 is 1
GCD(10, 964, 387, 291) = 1
Given Input numbers are 10, 964, 387, 291
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 10, 964, 387, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 964, 387, 291 is 1.
Therefore, GCD of numbers 10, 964, 387, 291 is 1
Given Input Data is 10, 964, 387, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 291 is 3 x 97
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(10, 964) = 4820
GCD(10, 964) = ( 10 x 964 ) / 4820
GCD(10, 964) = 9640 / 4820
GCD(10, 964) = 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 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
GCD of 10, 964, 387, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 964, 387, 291?
GCD of 10, 964, 387, 291 is 1
2. Where do I get the detailed procedure to find GCD of 10, 964, 387, 291?
You can find a detailed procedure to find GCD of 10, 964, 387, 291 on our page.
3. How to find GCD of 10, 964, 387, 291 on a calculator?
You can find the GCD of 10, 964, 387, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.