GCD of 424, 620, 21, 513 Calculator

Given Input numbers are 424, 620, 21, 513

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 424, 620, 21, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 620, 21, 513 is 1.

Therefore, GCD of numbers 424, 620, 21, 513 is 1

Given Input Data is 424, 620, 21, 513

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 21 is 3 x 7

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(424, 620) = 65720

GCD(424, 620) = ( 424 x 620 ) / 65720

GCD(424, 620) = 262880 / 65720

GCD(424, 620) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 424, 620, 21, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 600, 46, 888
• GCD of 120, 582, 69, 268
• GCD of 801, 776, 68, 435
• GCD of 172, 100, 97, 417
• GCD of 497, 429, 75, 773

1. What is the GCD of 424, 620, 21, 513?

GCD of 424, 620, 21, 513 is 1

2. Where do I get the detailed procedure to find GCD of 424, 620, 21, 513?

You can find a detailed procedure to find GCD of 424, 620, 21, 513 on our page.

3. How to find GCD of 424, 620, 21, 513 on a calculator?

You can find the GCD of 424, 620, 21, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.