GCD of 498, 622, 20, 739 Calculator

Given Input numbers are 498, 622, 20, 739

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 622

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

1, 2, 311, 622

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 498, 622, 20, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 622, 20, 739 is 1.

Therefore, GCD of numbers 498, 622, 20, 739 is 1

Given Input Data is 498, 622, 20, 739

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 622 is 2 x 311

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 739 is 739

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, 622) = 154878

GCD(498, 622) = ( 498 x 622 ) / 154878

GCD(498, 622) = 309756 / 154878

GCD(498, 622) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

GCD of 498, 622, 20, 739 is 1

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• GCD of 643, 282, 59, 951
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1. What is the GCD of 498, 622, 20, 739?

GCD of 498, 622, 20, 739 is 1

2. Where do I get the detailed procedure to find GCD of 498, 622, 20, 739?

You can find a detailed procedure to find GCD of 498, 622, 20, 739 on our page.

3. How to find GCD of 498, 622, 20, 739 on a calculator?

You can find the GCD of 498, 622, 20, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.