GCD of 595, 902, 72, 807 Calculator

Given Input numbers are 595, 902, 72, 807

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

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 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 595, 902, 72, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 902, 72, 807 is 1.

Therefore, GCD of numbers 595, 902, 72, 807 is 1

Given Input Data is 595, 902, 72, 807

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 807 is 3 x 269

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(595, 902) = 536690

GCD(595, 902) = ( 595 x 902 ) / 536690

GCD(595, 902) = 536690 / 536690

GCD(595, 902) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

GCD of 595, 902, 72, 807 is 1

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1. What is the GCD of 595, 902, 72, 807?

GCD of 595, 902, 72, 807 is 1

2. Where do I get the detailed procedure to find GCD of 595, 902, 72, 807?

You can find a detailed procedure to find GCD of 595, 902, 72, 807 on our page.

3. How to find GCD of 595, 902, 72, 807 on a calculator?

You can find the GCD of 595, 902, 72, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.