GCD of 395, 896, 754, 172 Calculator

Given Input numbers are 395, 896, 754, 172

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

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 395, 896, 754, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 896, 754, 172 is 1.

Therefore, GCD of numbers 395, 896, 754, 172 is 1

Given Input Data is 395, 896, 754, 172

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 754 is 2 x 13 x 29

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(395, 896) = 353920

GCD(395, 896) = ( 395 x 896 ) / 353920

GCD(395, 896) = 353920 / 353920

GCD(395, 896) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 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 395, 896, 754, 172 is 1

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1. What is the GCD of 395, 896, 754, 172?

GCD of 395, 896, 754, 172 is 1

2. Where do I get the detailed procedure to find GCD of 395, 896, 754, 172?

You can find a detailed procedure to find GCD of 395, 896, 754, 172 on our page.

3. How to find GCD of 395, 896, 754, 172 on a calculator?

You can find the GCD of 395, 896, 754, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.