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 964, 530, 644, 849 i.e. 1 largest integer that divides all the numbers equally.
GCD of 964, 530, 644, 849 is 1
GCD(964, 530, 644, 849) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 964, 530, 644, 849 is 1
GCD(964, 530, 644, 849) = 1
Given Input numbers are 964, 530, 644, 849
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Greatest Common Divisior
We found the divisors of 964, 530, 644, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 530, 644, 849 is 1.
Therefore, GCD of numbers 964, 530, 644, 849 is 1
Given Input Data is 964, 530, 644, 849
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 849 is 3 x 283
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(964, 530) = 255460
GCD(964, 530) = ( 964 x 530 ) / 255460
GCD(964, 530) = 510920 / 255460
GCD(964, 530) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 644
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 644) = 644
GCD(2, 644) = ( 2 x 644 ) / 644
GCD(2, 644) = 1288 / 644
GCD(2, 644) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 849) = 1698
GCD(2, 849) = ( 2 x 849 ) / 1698
GCD(2, 849) = 1698 / 1698
GCD(2, 849) = 1
GCD of 964, 530, 644, 849 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 964, 530, 644, 849?
GCD of 964, 530, 644, 849 is 1
2. Where do I get the detailed procedure to find GCD of 964, 530, 644, 849?
You can find a detailed procedure to find GCD of 964, 530, 644, 849 on our page.
3. How to find GCD of 964, 530, 644, 849 on a calculator?
You can find the GCD of 964, 530, 644, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.