GCD of 492, 416, 99, 868 Calculator

Given Input numbers are 492, 416, 99, 868

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 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 492, 416, 99, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 416, 99, 868 is 1.

Therefore, GCD of numbers 492, 416, 99, 868 is 1

Given Input Data is 492, 416, 99, 868

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 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 868 is 2 x 2 x 7 x 31

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, 416) = 51168

GCD(492, 416) = ( 492 x 416 ) / 51168

GCD(492, 416) = 204672 / 51168

GCD(492, 416) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 99

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

LCM(4, 99) = 396

GCD(4, 99) = ( 4 x 99 ) / 396

GCD(4, 99) = 396 / 396

GCD(4, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 492, 416, 99, 868 is 1

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1. What is the GCD of 492, 416, 99, 868?

GCD of 492, 416, 99, 868 is 1

2. Where do I get the detailed procedure to find GCD of 492, 416, 99, 868?

You can find a detailed procedure to find GCD of 492, 416, 99, 868 on our page.

3. How to find GCD of 492, 416, 99, 868 on a calculator?

You can find the GCD of 492, 416, 99, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.