GCD of 807, 992, 795, 900 Calculator

Given Input numbers are 807, 992, 795, 900

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

Divisors of 807

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

1, 3, 269, 807

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 807, 992, 795, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 992, 795, 900 is 1.

Therefore, GCD of numbers 807, 992, 795, 900 is 1

Given Input Data is 807, 992, 795, 900

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(807, 992) = 800544

GCD(807, 992) = ( 807 x 992 ) / 800544

GCD(807, 992) = 800544 / 800544

GCD(807, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 807, 992, 795, 900 is 1

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• GCD of 922, 674, 333, 823
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1. What is the GCD of 807, 992, 795, 900?

GCD of 807, 992, 795, 900 is 1

2. Where do I get the detailed procedure to find GCD of 807, 992, 795, 900?

You can find a detailed procedure to find GCD of 807, 992, 795, 900 on our page.

3. How to find GCD of 807, 992, 795, 900 on a calculator?

You can find the GCD of 807, 992, 795, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.