GCD of 498, 657, 622, 820 Calculator

Given Input numbers are 498, 657, 622, 820

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

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 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

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

Greatest Common Divisior

We found the divisors of 498, 657, 622, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 657, 622, 820 is 1.

Therefore, GCD of numbers 498, 657, 622, 820 is 1

Given Input Data is 498, 657, 622, 820

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 622 is 2 x 311

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(498, 657) = 109062

GCD(498, 657) = ( 498 x 657 ) / 109062

GCD(498, 657) = 327186 / 109062

GCD(498, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 622

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

LCM(3, 622) = 1866

GCD(3, 622) = ( 3 x 622 ) / 1866

GCD(3, 622) = 1866 / 1866

GCD(3, 622) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 498, 657, 622, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 730, 496, 601
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• GCD of 907, 545, 460, 121

1. What is the GCD of 498, 657, 622, 820?

GCD of 498, 657, 622, 820 is 1

2. Where do I get the detailed procedure to find GCD of 498, 657, 622, 820?

You can find a detailed procedure to find GCD of 498, 657, 622, 820 on our page.

3. How to find GCD of 498, 657, 622, 820 on a calculator?

You can find the GCD of 498, 657, 622, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.