GCD of 888, 540, 158, 304 Calculator

Given Input numbers are 888, 540, 158, 304

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

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 888, 540, 158, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 540, 158, 304 is 2.

Therefore, GCD of numbers 888, 540, 158, 304 is 2

Given Input Data is 888, 540, 158, 304

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

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 158 is 2 x 79

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(888, 540) = 39960

GCD(888, 540) = ( 888 x 540 ) / 39960

GCD(888, 540) = 479520 / 39960

GCD(888, 540) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 158

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

LCM(12, 158) = 948

GCD(12, 158) = ( 12 x 158 ) / 948

GCD(12, 158) = 1896 / 948

GCD(12, 158) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

GCD of 888, 540, 158, 304 is 2

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1. What is the GCD of 888, 540, 158, 304?

GCD of 888, 540, 158, 304 is 2

2. Where do I get the detailed procedure to find GCD of 888, 540, 158, 304?

You can find a detailed procedure to find GCD of 888, 540, 158, 304 on our page.

3. How to find GCD of 888, 540, 158, 304 on a calculator?

You can find the GCD of 888, 540, 158, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.