GCD of 500, 448, 426, 619 Calculator

Given Input numbers are 500, 448, 426, 619

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Greatest Common Divisior

We found the divisors of 500, 448, 426, 619 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 448, 426, 619 is 1.

Therefore, GCD of numbers 500, 448, 426, 619 is 1

Given Input Data is 500, 448, 426, 619

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 619 is 619

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(500, 448) = 56000

GCD(500, 448) = ( 500 x 448 ) / 56000

GCD(500, 448) = 224000 / 56000

GCD(500, 448) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 426

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

LCM(4, 426) = 852

GCD(4, 426) = ( 4 x 426 ) / 852

GCD(4, 426) = 1704 / 852

GCD(4, 426) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 619

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

LCM(2, 619) = 1238

GCD(2, 619) = ( 2 x 619 ) / 1238

GCD(2, 619) = 1238 / 1238

GCD(2, 619) = 1

GCD of 500, 448, 426, 619 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 220, 593, 561
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• GCD of 487, 559, 501, 634
• GCD of 976, 823, 438, 706
• GCD of 538, 948, 937, 378

1. What is the GCD of 500, 448, 426, 619?

GCD of 500, 448, 426, 619 is 1

2. Where do I get the detailed procedure to find GCD of 500, 448, 426, 619?

You can find a detailed procedure to find GCD of 500, 448, 426, 619 on our page.

3. How to find GCD of 500, 448, 426, 619 on a calculator?

You can find the GCD of 500, 448, 426, 619 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.