GCD of 390, 900, 28, 708 Calculator

Given Input numbers are 390, 900, 28, 708

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 390, 900, 28, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 900, 28, 708 is 2.

Therefore, GCD of numbers 390, 900, 28, 708 is 2

Given Input Data is 390, 900, 28, 708

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 708 is 2 x 2 x 3 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(390, 900) = 11700

GCD(390, 900) = ( 390 x 900 ) / 11700

GCD(390, 900) = 351000 / 11700

GCD(390, 900) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 28

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

LCM(30, 28) = 420

GCD(30, 28) = ( 30 x 28 ) / 420

GCD(30, 28) = 840 / 420

GCD(30, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

GCD of 390, 900, 28, 708 is 2

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• GCD of 434, 130, 84, 915
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• GCD of 834, 715, 55, 519

1. What is the GCD of 390, 900, 28, 708?

GCD of 390, 900, 28, 708 is 2

2. Where do I get the detailed procedure to find GCD of 390, 900, 28, 708?

You can find a detailed procedure to find GCD of 390, 900, 28, 708 on our page.

3. How to find GCD of 390, 900, 28, 708 on a calculator?

You can find the GCD of 390, 900, 28, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.