GCD of 644, 882, 750, 799 Calculator

Given Input numbers are 644, 882, 750, 799

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 644, 882, 750, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 882, 750, 799 is 1.

Therefore, GCD of numbers 644, 882, 750, 799 is 1

Given Input Data is 644, 882, 750, 799

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 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 799 is 17 x 47

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, 882) = 40572

GCD(644, 882) = ( 644 x 882 ) / 40572

GCD(644, 882) = 568008 / 40572

GCD(644, 882) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 750

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(14, 750) = 5250

GCD(14, 750) = ( 14 x 750 ) / 5250

GCD(14, 750) = 10500 / 5250

GCD(14, 750) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 799

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 799) = 1598

GCD(2, 799) = ( 2 x 799 ) / 1598

GCD(2, 799) = 1598 / 1598

GCD(2, 799) = 1

GCD of 644, 882, 750, 799 is 1

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1. What is the GCD of 644, 882, 750, 799?

GCD of 644, 882, 750, 799 is 1

2. Where do I get the detailed procedure to find GCD of 644, 882, 750, 799?

You can find a detailed procedure to find GCD of 644, 882, 750, 799 on our page.

3. How to find GCD of 644, 882, 750, 799 on a calculator?

You can find the GCD of 644, 882, 750, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.