GCD of 438, 897, 597, 172 Calculator

Given Input numbers are 438, 897, 597, 172

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

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 438, 897, 597, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 897, 597, 172 is 1.

Therefore, GCD of numbers 438, 897, 597, 172 is 1

Given Input Data is 438, 897, 597, 172

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 597 is 3 x 199

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(438, 897) = 130962

GCD(438, 897) = ( 438 x 897 ) / 130962

GCD(438, 897) = 392886 / 130962

GCD(438, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 597

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

LCM(3, 597) = 597

GCD(3, 597) = ( 3 x 597 ) / 597

GCD(3, 597) = 1791 / 597

GCD(3, 597) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 172

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

LCM(3, 172) = 516

GCD(3, 172) = ( 3 x 172 ) / 516

GCD(3, 172) = 516 / 516

GCD(3, 172) = 1

GCD of 438, 897, 597, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 163, 163, 484
• GCD of 838, 358, 141, 727
• GCD of 883, 281, 919, 825
• GCD of 196, 989, 904, 178
• GCD of 475, 129, 321, 219

1. What is the GCD of 438, 897, 597, 172?

GCD of 438, 897, 597, 172 is 1

2. Where do I get the detailed procedure to find GCD of 438, 897, 597, 172?

You can find a detailed procedure to find GCD of 438, 897, 597, 172 on our page.

3. How to find GCD of 438, 897, 597, 172 on a calculator?

You can find the GCD of 438, 897, 597, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.