GCD of 14, 672, 224, 961 Calculator

Given Input numbers are 14, 672, 224, 961

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 14, 672, 224, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 672, 224, 961 is 1.

Therefore, GCD of numbers 14, 672, 224, 961 is 1

Given Input Data is 14, 672, 224, 961

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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

Prime Factorization of 961 is 31 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(14, 672) = 672

GCD(14, 672) = ( 14 x 672 ) / 672

GCD(14, 672) = 9408 / 672

GCD(14, 672) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 224

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

LCM(14, 224) = 224

GCD(14, 224) = ( 14 x 224 ) / 224

GCD(14, 224) = 3136 / 224

GCD(14, 224) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 961

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

LCM(14, 961) = 13454

GCD(14, 961) = ( 14 x 961 ) / 13454

GCD(14, 961) = 13454 / 13454

GCD(14, 961) = 1

GCD of 14, 672, 224, 961 is 1

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1. What is the GCD of 14, 672, 224, 961?

GCD of 14, 672, 224, 961 is 1

2. Where do I get the detailed procedure to find GCD of 14, 672, 224, 961?

You can find a detailed procedure to find GCD of 14, 672, 224, 961 on our page.

3. How to find GCD of 14, 672, 224, 961 on a calculator?

You can find the GCD of 14, 672, 224, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.