GCD of 52, 264, 924, 253 Calculator

Given Input numbers are 52, 264, 924, 253

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 52, 264, 924, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 264, 924, 253 is 1.

Therefore, GCD of numbers 52, 264, 924, 253 is 1

Given Input Data is 52, 264, 924, 253

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

Prime Factorization of 52 is 2 x 2 x 13

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 253 is 11 x 23

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(52, 264) = 3432

GCD(52, 264) = ( 52 x 264 ) / 3432

GCD(52, 264) = 13728 / 3432

GCD(52, 264) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 924

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

LCM(4, 924) = 924

GCD(4, 924) = ( 4 x 924 ) / 924

GCD(4, 924) = 3696 / 924

GCD(4, 924) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 253

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

LCM(4, 253) = 1012

GCD(4, 253) = ( 4 x 253 ) / 1012

GCD(4, 253) = 1012 / 1012

GCD(4, 253) = 1

GCD of 52, 264, 924, 253 is 1

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1. What is the GCD of 52, 264, 924, 253?

GCD of 52, 264, 924, 253 is 1

2. Where do I get the detailed procedure to find GCD of 52, 264, 924, 253?

You can find a detailed procedure to find GCD of 52, 264, 924, 253 on our page.

3. How to find GCD of 52, 264, 924, 253 on a calculator?

You can find the GCD of 52, 264, 924, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.