GCD of 300, 478, 684, 551 Calculator

Given Input numbers are 300, 478, 684, 551

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Greatest Common Divisior

We found the divisors of 300, 478, 684, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 478, 684, 551 is 1.

Therefore, GCD of numbers 300, 478, 684, 551 is 1

Given Input Data is 300, 478, 684, 551

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 478 is 2 x 239

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 551 is 19 x 29

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(300, 478) = 71700

GCD(300, 478) = ( 300 x 478 ) / 71700

GCD(300, 478) = 143400 / 71700

GCD(300, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 551

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

LCM(2, 551) = 1102

GCD(2, 551) = ( 2 x 551 ) / 1102

GCD(2, 551) = 1102 / 1102

GCD(2, 551) = 1

GCD of 300, 478, 684, 551 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 448, 515, 456
• GCD of 467, 657, 788, 575
• GCD of 485, 626, 575, 495
• GCD of 583, 538, 279, 836
• GCD of 535, 667, 591, 186

1. What is the GCD of 300, 478, 684, 551?

GCD of 300, 478, 684, 551 is 1

2. Where do I get the detailed procedure to find GCD of 300, 478, 684, 551?

You can find a detailed procedure to find GCD of 300, 478, 684, 551 on our page.

3. How to find GCD of 300, 478, 684, 551 on a calculator?

You can find the GCD of 300, 478, 684, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.