GCD of 618, 150, 28, 756 Calculator

Given Input numbers are 618, 150, 28, 756

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

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 618, 150, 28, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 150, 28, 756 is 2.

Therefore, GCD of numbers 618, 150, 28, 756 is 2

Given Input Data is 618, 150, 28, 756

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

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(618, 150) = 15450

GCD(618, 150) = ( 618 x 150 ) / 15450

GCD(618, 150) = 92700 / 15450

GCD(618, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 28

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

LCM(6, 28) = 84

GCD(6, 28) = ( 6 x 28 ) / 84

GCD(6, 28) = 168 / 84

GCD(6, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

GCD of 618, 150, 28, 756 is 2

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• GCD of 739, 961, 23, 585
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1. What is the GCD of 618, 150, 28, 756?

GCD of 618, 150, 28, 756 is 2

2. Where do I get the detailed procedure to find GCD of 618, 150, 28, 756?

You can find a detailed procedure to find GCD of 618, 150, 28, 756 on our page.

3. How to find GCD of 618, 150, 28, 756 on a calculator?

You can find the GCD of 618, 150, 28, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.