GCD of 548, 272, 276, 921 Calculator

Given Input numbers are 548, 272, 276, 921

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 548, 272, 276, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 272, 276, 921 is 1.

Therefore, GCD of numbers 548, 272, 276, 921 is 1

Given Input Data is 548, 272, 276, 921

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

Prime Factorization of 548 is 2 x 2 x 137

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 921 is 3 x 307

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(548, 272) = 37264

GCD(548, 272) = ( 548 x 272 ) / 37264

GCD(548, 272) = 149056 / 37264

GCD(548, 272) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 276

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

LCM(4, 276) = 276

GCD(4, 276) = ( 4 x 276 ) / 276

GCD(4, 276) = 1104 / 276

GCD(4, 276) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 921

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

LCM(4, 921) = 3684

GCD(4, 921) = ( 4 x 921 ) / 3684

GCD(4, 921) = 3684 / 3684

GCD(4, 921) = 1

GCD of 548, 272, 276, 921 is 1

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1. What is the GCD of 548, 272, 276, 921?

GCD of 548, 272, 276, 921 is 1

2. Where do I get the detailed procedure to find GCD of 548, 272, 276, 921?

You can find a detailed procedure to find GCD of 548, 272, 276, 921 on our page.

3. How to find GCD of 548, 272, 276, 921 on a calculator?

You can find the GCD of 548, 272, 276, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.