GCD of 171, 788, 16, 672 Calculator

Given Input numbers are 171, 788, 16, 672

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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

Greatest Common Divisior

We found the divisors of 171, 788, 16, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 788, 16, 672 is 1.

Therefore, GCD of numbers 171, 788, 16, 672 is 1

Given Input Data is 171, 788, 16, 672

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 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(171, 788) = 134748

GCD(171, 788) = ( 171 x 788 ) / 134748

GCD(171, 788) = 134748 / 134748

GCD(171, 788) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 171, 788, 16, 672 is 1

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1. What is the GCD of 171, 788, 16, 672?

GCD of 171, 788, 16, 672 is 1

2. Where do I get the detailed procedure to find GCD of 171, 788, 16, 672?

You can find a detailed procedure to find GCD of 171, 788, 16, 672 on our page.

3. How to find GCD of 171, 788, 16, 672 on a calculator?

You can find the GCD of 171, 788, 16, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.