GCD of 492, 997, 512, 142 Calculator

Given Input numbers are 492, 997, 512, 142

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

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 492, 997, 512, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 997, 512, 142 is 1.

Therefore, GCD of numbers 492, 997, 512, 142 is 1

Given Input Data is 492, 997, 512, 142

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

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

Prime Factorization of 997 is 997

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 142 is 2 x 71

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(492, 997) = 490524

GCD(492, 997) = ( 492 x 997 ) / 490524

GCD(492, 997) = 490524 / 490524

GCD(492, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 492, 997, 512, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 533, 677, 706
• GCD of 697, 677, 477, 746
• GCD of 975, 582, 275, 554
• GCD of 450, 460, 481, 686
• GCD of 966, 101, 626, 421

1. What is the GCD of 492, 997, 512, 142?

GCD of 492, 997, 512, 142 is 1

2. Where do I get the detailed procedure to find GCD of 492, 997, 512, 142?

You can find a detailed procedure to find GCD of 492, 997, 512, 142 on our page.

3. How to find GCD of 492, 997, 512, 142 on a calculator?

You can find the GCD of 492, 997, 512, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.