GCD of 478, 972, 28, 618 Calculator

Given Input numbers are 478, 972, 28, 618

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

Divisors of 478

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

1, 2, 239, 478

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 618

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

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

Greatest Common Divisior

We found the divisors of 478, 972, 28, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 972, 28, 618 is 2.

Therefore, GCD of numbers 478, 972, 28, 618 is 2

Given Input Data is 478, 972, 28, 618

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 618 is 2 x 3 x 103

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(478, 972) = 232308

GCD(478, 972) = ( 478 x 972 ) / 232308

GCD(478, 972) = 464616 / 232308

GCD(478, 972) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 618

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

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

GCD(2, 618) = 1236 / 618

GCD(2, 618) = 2

GCD of 478, 972, 28, 618 is 2

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1. What is the GCD of 478, 972, 28, 618?

GCD of 478, 972, 28, 618 is 2

2. Where do I get the detailed procedure to find GCD of 478, 972, 28, 618?

You can find a detailed procedure to find GCD of 478, 972, 28, 618 on our page.

3. How to find GCD of 478, 972, 28, 618 on a calculator?

You can find the GCD of 478, 972, 28, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.