GCD of 492, 820, 45, 336 Calculator

Given Input numbers are 492, 820, 45, 336

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 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 492, 820, 45, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 820, 45, 336 is 1.

Therefore, GCD of numbers 492, 820, 45, 336 is 1

Given Input Data is 492, 820, 45, 336

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 820 is 2 x 2 x 5 x 41

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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, 820) = 2460

GCD(492, 820) = ( 492 x 820 ) / 2460

GCD(492, 820) = 403440 / 2460

GCD(492, 820) = 164

Step2:

Here we consider the GCD from the above i.e. 164 as first number and the next as 45

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

LCM(164, 45) = 7380

GCD(164, 45) = ( 164 x 45 ) / 7380

GCD(164, 45) = 7380 / 7380

GCD(164, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 336

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

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

GCD(1, 336) = 336 / 336

GCD(1, 336) = 1

GCD of 492, 820, 45, 336 is 1

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1. What is the GCD of 492, 820, 45, 336?

GCD of 492, 820, 45, 336 is 1

2. Where do I get the detailed procedure to find GCD of 492, 820, 45, 336?

You can find a detailed procedure to find GCD of 492, 820, 45, 336 on our page.

3. How to find GCD of 492, 820, 45, 336 on a calculator?

You can find the GCD of 492, 820, 45, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.