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, 792, 658, 590 i.e. 2 largest integer that divides all the numbers equally.
GCD of 644, 792, 658, 590 is 2
GCD(644, 792, 658, 590) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 644, 792, 658, 590 is 2
GCD(644, 792, 658, 590) = 2
Given Input numbers are 644, 792, 658, 590
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 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Greatest Common Divisior
We found the divisors of 644, 792, 658, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 792, 658, 590 is 2.
Therefore, GCD of numbers 644, 792, 658, 590 is 2
Given Input Data is 644, 792, 658, 590
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 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 590 is 2 x 5 x 59
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 792) = 127512
GCD(644, 792) = ( 644 x 792 ) / 127512
GCD(644, 792) = 510048 / 127512
GCD(644, 792) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 658) = 1316
GCD(4, 658) = ( 4 x 658 ) / 1316
GCD(4, 658) = 2632 / 1316
GCD(4, 658) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 590) = 590
GCD(2, 590) = ( 2 x 590 ) / 590
GCD(2, 590) = 1180 / 590
GCD(2, 590) = 2
GCD of 644, 792, 658, 590 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 644, 792, 658, 590?
GCD of 644, 792, 658, 590 is 2
2. Where do I get the detailed procedure to find GCD of 644, 792, 658, 590?
You can find a detailed procedure to find GCD of 644, 792, 658, 590 on our page.
3. How to find GCD of 644, 792, 658, 590 on a calculator?
You can find the GCD of 644, 792, 658, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.