GCD of 192, 120, 95, 538 Calculator

Given Input numbers are 192, 120, 95, 538

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

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 538

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

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 192, 120, 95, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 120, 95, 538 is 1.

Therefore, GCD of numbers 192, 120, 95, 538 is 1

Given Input Data is 192, 120, 95, 538

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

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 95 is 5 x 19

Prime Factorization of 538 is 2 x 269

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(192, 120) = 960

GCD(192, 120) = ( 192 x 120 ) / 960

GCD(192, 120) = 23040 / 960

GCD(192, 120) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 95

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

LCM(24, 95) = 2280

GCD(24, 95) = ( 24 x 95 ) / 2280

GCD(24, 95) = 2280 / 2280

GCD(24, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 192, 120, 95, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 874, 79, 354
• GCD of 641, 126, 46, 113
• GCD of 913, 660, 90, 120
• GCD of 668, 814, 62, 895
• GCD of 826, 270, 50, 538

1. What is the GCD of 192, 120, 95, 538?

GCD of 192, 120, 95, 538 is 1

2. Where do I get the detailed procedure to find GCD of 192, 120, 95, 538?

You can find a detailed procedure to find GCD of 192, 120, 95, 538 on our page.

3. How to find GCD of 192, 120, 95, 538 on a calculator?

You can find the GCD of 192, 120, 95, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.