GCD of 50, 114, 111, 492 Calculator

Given Input numbers are 50, 114, 111, 492

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 50, 114, 111, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 114, 111, 492 is 1.

Therefore, GCD of numbers 50, 114, 111, 492 is 1

Given Input Data is 50, 114, 111, 492

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 111 is 3 x 37

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(50, 114) = 2850

GCD(50, 114) = ( 50 x 114 ) / 2850

GCD(50, 114) = 5700 / 2850

GCD(50, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 111

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

LCM(2, 111) = 222

GCD(2, 111) = ( 2 x 111 ) / 222

GCD(2, 111) = 222 / 222

GCD(2, 111) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 50, 114, 111, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 910, 418, 842
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• GCD of 68, 674, 275, 140
• GCD of 83, 789, 266, 115

1. What is the GCD of 50, 114, 111, 492?

GCD of 50, 114, 111, 492 is 1

2. Where do I get the detailed procedure to find GCD of 50, 114, 111, 492?

You can find a detailed procedure to find GCD of 50, 114, 111, 492 on our page.

3. How to find GCD of 50, 114, 111, 492 on a calculator?

You can find the GCD of 50, 114, 111, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.