GCD of 172, 336, 538, 455 Calculator

Given Input numbers are 172, 336, 538, 455

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

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 172, 336, 538, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 336, 538, 455 is 1.

Therefore, GCD of numbers 172, 336, 538, 455 is 1

Given Input Data is 172, 336, 538, 455

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 538 is 2 x 269

Prime Factorization of 455 is 5 x 7 x 13

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(172, 336) = 14448

GCD(172, 336) = ( 172 x 336 ) / 14448

GCD(172, 336) = 57792 / 14448

GCD(172, 336) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 538

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

LCM(4, 538) = 1076

GCD(4, 538) = ( 4 x 538 ) / 1076

GCD(4, 538) = 2152 / 1076

GCD(4, 538) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 455

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

LCM(2, 455) = 910

GCD(2, 455) = ( 2 x 455 ) / 910

GCD(2, 455) = 910 / 910

GCD(2, 455) = 1

GCD of 172, 336, 538, 455 is 1

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1. What is the GCD of 172, 336, 538, 455?

GCD of 172, 336, 538, 455 is 1

2. Where do I get the detailed procedure to find GCD of 172, 336, 538, 455?

You can find a detailed procedure to find GCD of 172, 336, 538, 455 on our page.

3. How to find GCD of 172, 336, 538, 455 on a calculator?

You can find the GCD of 172, 336, 538, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.