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 644, 972, 509, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 644, 972, 509, 833 is 1
GCD(644, 972, 509, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 644, 972, 509, 833 is 1
GCD(644, 972, 509, 833) = 1
Given Input numbers are 644, 972, 509, 833
To find the GCD of numbers using factoring list out all the divisors of each number
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 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 644, 972, 509, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 972, 509, 833 is 1.
Therefore, GCD of numbers 644, 972, 509, 833 is 1
Given Input Data is 644, 972, 509, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 509 is 509
Prime Factorization of 833 is 7 x 7 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(644, 972) = 156492
GCD(644, 972) = ( 644 x 972 ) / 156492
GCD(644, 972) = 625968 / 156492
GCD(644, 972) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 509) = 2036
GCD(4, 509) = ( 4 x 509 ) / 2036
GCD(4, 509) = 2036 / 2036
GCD(4, 509) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 833) = 833
GCD(1, 833) = ( 1 x 833 ) / 833
GCD(1, 833) = 833 / 833
GCD(1, 833) = 1
GCD of 644, 972, 509, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 644, 972, 509, 833?
GCD of 644, 972, 509, 833 is 1
2. Where do I get the detailed procedure to find GCD of 644, 972, 509, 833?
You can find a detailed procedure to find GCD of 644, 972, 509, 833 on our page.
3. How to find GCD of 644, 972, 509, 833 on a calculator?
You can find the GCD of 644, 972, 509, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.