GCD of 538, 177, 38, 718 Calculator

Given Input numbers are 538, 177, 38, 718

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

Divisors of 538

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

1, 2, 269, 538

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 538, 177, 38, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 177, 38, 718 is 1.

Therefore, GCD of numbers 538, 177, 38, 718 is 1

Given Input Data is 538, 177, 38, 718

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 177 is 3 x 59

Prime Factorization of 38 is 2 x 19

Prime Factorization of 718 is 2 x 359

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(538, 177) = 95226

GCD(538, 177) = ( 538 x 177 ) / 95226

GCD(538, 177) = 95226 / 95226

GCD(538, 177) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 538, 177, 38, 718 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 367, 35, 569
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• GCD of 962, 354, 19, 310
• GCD of 980, 110, 95, 658
• GCD of 976, 474, 28, 874

1. What is the GCD of 538, 177, 38, 718?

GCD of 538, 177, 38, 718 is 1

2. Where do I get the detailed procedure to find GCD of 538, 177, 38, 718?

You can find a detailed procedure to find GCD of 538, 177, 38, 718 on our page.

3. How to find GCD of 538, 177, 38, 718 on a calculator?

You can find the GCD of 538, 177, 38, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.