GCD of 492, 305, 99, 457 Calculator

Given Input numbers are 492, 305, 99, 457

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 492, 305, 99, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 305, 99, 457 is 1.

Therefore, GCD of numbers 492, 305, 99, 457 is 1

Given Input Data is 492, 305, 99, 457

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 305 is 5 x 61

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 457 is 457

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, 305) = 150060

GCD(492, 305) = ( 492 x 305 ) / 150060

GCD(492, 305) = 150060 / 150060

GCD(492, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 492, 305, 99, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 285, 23, 943
• GCD of 876, 334, 24, 263
• GCD of 835, 469, 47, 976
• GCD of 627, 708, 88, 481
• GCD of 626, 905, 75, 631

1. What is the GCD of 492, 305, 99, 457?

GCD of 492, 305, 99, 457 is 1

2. Where do I get the detailed procedure to find GCD of 492, 305, 99, 457?

You can find a detailed procedure to find GCD of 492, 305, 99, 457 on our page.

3. How to find GCD of 492, 305, 99, 457 on a calculator?

You can find the GCD of 492, 305, 99, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.