GCD of 188, 517, 936, 495 Calculator

Given Input numbers are 188, 517, 936, 495

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

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 188, 517, 936, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 517, 936, 495 is 1.

Therefore, GCD of numbers 188, 517, 936, 495 is 1

Given Input Data is 188, 517, 936, 495

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

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 517 is 11 x 47

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 495 is 3 x 3 x 5 x 11

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(188, 517) = 2068

GCD(188, 517) = ( 188 x 517 ) / 2068

GCD(188, 517) = 97196 / 2068

GCD(188, 517) = 47

Step2:

Here we consider the GCD from the above i.e. 47 as first number and the next as 936

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

LCM(47, 936) = 43992

GCD(47, 936) = ( 47 x 936 ) / 43992

GCD(47, 936) = 43992 / 43992

GCD(47, 936) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

GCD of 188, 517, 936, 495 is 1

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1. What is the GCD of 188, 517, 936, 495?

GCD of 188, 517, 936, 495 is 1

2. Where do I get the detailed procedure to find GCD of 188, 517, 936, 495?

You can find a detailed procedure to find GCD of 188, 517, 936, 495 on our page.

3. How to find GCD of 188, 517, 936, 495 on a calculator?

You can find the GCD of 188, 517, 936, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.