GCD of 294, 945, 924, 224 Calculator

Given Input numbers are 294, 945, 924, 224

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 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 294, 945, 924, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 945, 924, 224 is 7.

Therefore, GCD of numbers 294, 945, 924, 224 is 7

Given Input Data is 294, 945, 924, 224

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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

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

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(294, 945) = 13230

GCD(294, 945) = ( 294 x 945 ) / 13230

GCD(294, 945) = 277830 / 13230

GCD(294, 945) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 924

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

LCM(21, 924) = 924

GCD(21, 924) = ( 21 x 924 ) / 924

GCD(21, 924) = 19404 / 924

GCD(21, 924) = 21

Step3:

Here we consider the GCD from the above i.e. 21 as first number and the next as 224

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

LCM(21, 224) = 672

GCD(21, 224) = ( 21 x 224 ) / 672

GCD(21, 224) = 4704 / 672

GCD(21, 224) = 7

GCD of 294, 945, 924, 224 is 7

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1. What is the GCD of 294, 945, 924, 224?

GCD of 294, 945, 924, 224 is 7

2. Where do I get the detailed procedure to find GCD of 294, 945, 924, 224?

You can find a detailed procedure to find GCD of 294, 945, 924, 224 on our page.

3. How to find GCD of 294, 945, 924, 224 on a calculator?

You can find the GCD of 294, 945, 924, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.