GCD of 892, 504, 567, 272 Calculator

Given Input numbers are 892, 504, 567, 272

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

Divisors of 892

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

1, 2, 4, 223, 446, 892

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 892, 504, 567, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 504, 567, 272 is 1.

Therefore, GCD of numbers 892, 504, 567, 272 is 1

Given Input Data is 892, 504, 567, 272

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(892, 504) = 112392

GCD(892, 504) = ( 892 x 504 ) / 112392

GCD(892, 504) = 449568 / 112392

GCD(892, 504) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 567

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

LCM(4, 567) = 2268

GCD(4, 567) = ( 4 x 567 ) / 2268

GCD(4, 567) = 2268 / 2268

GCD(4, 567) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 892, 504, 567, 272 is 1

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1. What is the GCD of 892, 504, 567, 272?

GCD of 892, 504, 567, 272 is 1

2. Where do I get the detailed procedure to find GCD of 892, 504, 567, 272?

You can find a detailed procedure to find GCD of 892, 504, 567, 272 on our page.

3. How to find GCD of 892, 504, 567, 272 on a calculator?

You can find the GCD of 892, 504, 567, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.