GCD of 171, 564, 478, 994 Calculator

Given Input numbers are 171, 564, 478, 994

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 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 171, 564, 478, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 564, 478, 994 is 1.

Therefore, GCD of numbers 171, 564, 478, 994 is 1

Given Input Data is 171, 564, 478, 994

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 564 is 2 x 2 x 3 x 47

Prime Factorization of 478 is 2 x 239

Prime Factorization of 994 is 2 x 7 x 71

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, 564) = 32148

GCD(171, 564) = ( 171 x 564 ) / 32148

GCD(171, 564) = 96444 / 32148

GCD(171, 564) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 478

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

LCM(3, 478) = 1434

GCD(3, 478) = ( 3 x 478 ) / 1434

GCD(3, 478) = 1434 / 1434

GCD(3, 478) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 171, 564, 478, 994 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 892, 276, 798
• GCD of 782, 114, 317, 616
• GCD of 809, 442, 926, 664
• GCD of 377, 713, 685, 498
• GCD of 476, 184, 277, 910

1. What is the GCD of 171, 564, 478, 994?

GCD of 171, 564, 478, 994 is 1

2. Where do I get the detailed procedure to find GCD of 171, 564, 478, 994?

You can find a detailed procedure to find GCD of 171, 564, 478, 994 on our page.

3. How to find GCD of 171, 564, 478, 994 on a calculator?

You can find the GCD of 171, 564, 478, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.