GCD of 264, 172, 677, 224 Calculator

Given Input numbers are 264, 172, 677, 224

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 264, 172, 677, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 172, 677, 224 is 1.

Therefore, GCD of numbers 264, 172, 677, 224 is 1

Given Input Data is 264, 172, 677, 224

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 172 is 2 x 2 x 43

Prime Factorization of 677 is 677

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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, 172) = 11352

GCD(264, 172) = ( 264 x 172 ) / 11352

GCD(264, 172) = 45408 / 11352

GCD(264, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 677

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

LCM(4, 677) = 2708

GCD(4, 677) = ( 4 x 677 ) / 2708

GCD(4, 677) = 2708 / 2708

GCD(4, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 264, 172, 677, 224 is 1

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1. What is the GCD of 264, 172, 677, 224?

GCD of 264, 172, 677, 224 is 1

2. Where do I get the detailed procedure to find GCD of 264, 172, 677, 224?

You can find a detailed procedure to find GCD of 264, 172, 677, 224 on our page.

3. How to find GCD of 264, 172, 677, 224 on a calculator?

You can find the GCD of 264, 172, 677, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.