GCD of 28, 224, 971, 434 Calculator

Given Input numbers are 28, 224, 971, 434

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 28, 224, 971, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 224, 971, 434 is 1.

Therefore, GCD of numbers 28, 224, 971, 434 is 1

Given Input Data is 28, 224, 971, 434

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

Prime Factorization of 28 is 2 x 2 x 7

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

Prime Factorization of 971 is 971

Prime Factorization of 434 is 2 x 7 x 31

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(28, 224) = 224

GCD(28, 224) = ( 28 x 224 ) / 224

GCD(28, 224) = 6272 / 224

GCD(28, 224) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 971

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

LCM(28, 971) = 27188

GCD(28, 971) = ( 28 x 971 ) / 27188

GCD(28, 971) = 27188 / 27188

GCD(28, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 28, 224, 971, 434 is 1

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• GCD of 24, 341, 406, 532
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1. What is the GCD of 28, 224, 971, 434?

GCD of 28, 224, 971, 434 is 1

2. Where do I get the detailed procedure to find GCD of 28, 224, 971, 434?

You can find a detailed procedure to find GCD of 28, 224, 971, 434 on our page.

3. How to find GCD of 28, 224, 971, 434 on a calculator?

You can find the GCD of 28, 224, 971, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.