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, 712, 459, 379 i.e. 1 largest integer that divides all the numbers equally.
GCD of 644, 712, 459, 379 is 1
GCD(644, 712, 459, 379) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 644, 712, 459, 379 is 1
GCD(644, 712, 459, 379) = 1
Given Input numbers are 644, 712, 459, 379
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 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Greatest Common Divisior
We found the divisors of 644, 712, 459, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 712, 459, 379 is 1.
Therefore, GCD of numbers 644, 712, 459, 379 is 1
Given Input Data is 644, 712, 459, 379
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 712 is 2 x 2 x 2 x 89
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 379 is 379
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, 712) = 114632
GCD(644, 712) = ( 644 x 712 ) / 114632
GCD(644, 712) = 458528 / 114632
GCD(644, 712) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 459) = 1836
GCD(4, 459) = ( 4 x 459 ) / 1836
GCD(4, 459) = 1836 / 1836
GCD(4, 459) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 379) = 379
GCD(1, 379) = ( 1 x 379 ) / 379
GCD(1, 379) = 379 / 379
GCD(1, 379) = 1
GCD of 644, 712, 459, 379 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 644, 712, 459, 379?
GCD of 644, 712, 459, 379 is 1
2. Where do I get the detailed procedure to find GCD of 644, 712, 459, 379?
You can find a detailed procedure to find GCD of 644, 712, 459, 379 on our page.
3. How to find GCD of 644, 712, 459, 379 on a calculator?
You can find the GCD of 644, 712, 459, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.