GCD of 736, 286, 595, 644 Calculator

Given Input numbers are 736, 286, 595, 644

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

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

Greatest Common Divisior

We found the divisors of 736, 286, 595, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 286, 595, 644 is 1.

Therefore, GCD of numbers 736, 286, 595, 644 is 1

Given Input Data is 736, 286, 595, 644

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(736, 286) = 105248

GCD(736, 286) = ( 736 x 286 ) / 105248

GCD(736, 286) = 210496 / 105248

GCD(736, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 595

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

LCM(2, 595) = 1190

GCD(2, 595) = ( 2 x 595 ) / 1190

GCD(2, 595) = 1190 / 1190

GCD(2, 595) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 736, 286, 595, 644 is 1

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1. What is the GCD of 736, 286, 595, 644?

GCD of 736, 286, 595, 644 is 1

2. Where do I get the detailed procedure to find GCD of 736, 286, 595, 644?

You can find a detailed procedure to find GCD of 736, 286, 595, 644 on our page.

3. How to find GCD of 736, 286, 595, 644 on a calculator?

You can find the GCD of 736, 286, 595, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.