GCD of 264, 912, 89, 546 Calculator

Given Input numbers are 264, 912, 89, 546

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 264, 912, 89, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 912, 89, 546 is 1.

Therefore, GCD of numbers 264, 912, 89, 546 is 1

Given Input Data is 264, 912, 89, 546

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 89 is 89

Prime Factorization of 546 is 2 x 3 x 7 x 13

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(264, 912) = 10032

GCD(264, 912) = ( 264 x 912 ) / 10032

GCD(264, 912) = 240768 / 10032

GCD(264, 912) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 89

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

LCM(24, 89) = 2136

GCD(24, 89) = ( 24 x 89 ) / 2136

GCD(24, 89) = 2136 / 2136

GCD(24, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 264, 912, 89, 546 is 1

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1. What is the GCD of 264, 912, 89, 546?

GCD of 264, 912, 89, 546 is 1

2. Where do I get the detailed procedure to find GCD of 264, 912, 89, 546?

You can find a detailed procedure to find GCD of 264, 912, 89, 546 on our page.

3. How to find GCD of 264, 912, 89, 546 on a calculator?

You can find the GCD of 264, 912, 89, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.