GCD of 420, 498, 31, 326 Calculator

Given Input numbers are 420, 498, 31, 326

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 420, 498, 31, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 498, 31, 326 is 1.

Therefore, GCD of numbers 420, 498, 31, 326 is 1

Given Input Data is 420, 498, 31, 326

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 31 is 31

Prime Factorization of 326 is 2 x 163

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(420, 498) = 34860

GCD(420, 498) = ( 420 x 498 ) / 34860

GCD(420, 498) = 209160 / 34860

GCD(420, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 31

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

LCM(6, 31) = 186

GCD(6, 31) = ( 6 x 31 ) / 186

GCD(6, 31) = 186 / 186

GCD(6, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

GCD of 420, 498, 31, 326 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 890, 13, 690
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• GCD of 683, 632, 19, 692

1. What is the GCD of 420, 498, 31, 326?

GCD of 420, 498, 31, 326 is 1

2. Where do I get the detailed procedure to find GCD of 420, 498, 31, 326?

You can find a detailed procedure to find GCD of 420, 498, 31, 326 on our page.

3. How to find GCD of 420, 498, 31, 326 on a calculator?

You can find the GCD of 420, 498, 31, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.