GCD of 471, 344, 78, 172 Calculator

Given Input numbers are 471, 344, 78, 172

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 471, 344, 78, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 344, 78, 172 is 1.

Therefore, GCD of numbers 471, 344, 78, 172 is 1

Given Input Data is 471, 344, 78, 172

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 172 is 2 x 2 x 43

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(471, 344) = 162024

GCD(471, 344) = ( 471 x 344 ) / 162024

GCD(471, 344) = 162024 / 162024

GCD(471, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 471, 344, 78, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 400, 61, 396
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1. What is the GCD of 471, 344, 78, 172?

GCD of 471, 344, 78, 172 is 1

2. Where do I get the detailed procedure to find GCD of 471, 344, 78, 172?

You can find a detailed procedure to find GCD of 471, 344, 78, 172 on our page.

3. How to find GCD of 471, 344, 78, 172 on a calculator?

You can find the GCD of 471, 344, 78, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.