GCD of 817, 270, 99, 892 Calculator

Given Input numbers are 817, 270, 99, 892

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

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 817, 270, 99, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 270, 99, 892 is 1.

Therefore, GCD of numbers 817, 270, 99, 892 is 1

Given Input Data is 817, 270, 99, 892

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

Prime Factorization of 817 is 19 x 43

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 892 is 2 x 2 x 223

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(817, 270) = 220590

GCD(817, 270) = ( 817 x 270 ) / 220590

GCD(817, 270) = 220590 / 220590

GCD(817, 270) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 817, 270, 99, 892 is 1

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1. What is the GCD of 817, 270, 99, 892?

GCD of 817, 270, 99, 892 is 1

2. Where do I get the detailed procedure to find GCD of 817, 270, 99, 892?

You can find a detailed procedure to find GCD of 817, 270, 99, 892 on our page.

3. How to find GCD of 817, 270, 99, 892 on a calculator?

You can find the GCD of 817, 270, 99, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.