GCD of 312, 844, 74, 254 Calculator

Given Input numbers are 312, 844, 74, 254

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 312, 844, 74, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 844, 74, 254 is 2.

Therefore, GCD of numbers 312, 844, 74, 254 is 2

Given Input Data is 312, 844, 74, 254

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 74 is 2 x 37

Prime Factorization of 254 is 2 x 127

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(312, 844) = 65832

GCD(312, 844) = ( 312 x 844 ) / 65832

GCD(312, 844) = 263328 / 65832

GCD(312, 844) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 74

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

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

GCD(4, 74) = 296 / 148

GCD(4, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 254

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

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

GCD(2, 254) = 508 / 254

GCD(2, 254) = 2

GCD of 312, 844, 74, 254 is 2

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• GCD of 143, 540, 38, 132
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• GCD of 205, 903, 63, 882
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• GCD of 552, 145, 96, 995

1. What is the GCD of 312, 844, 74, 254?

GCD of 312, 844, 74, 254 is 2

2. Where do I get the detailed procedure to find GCD of 312, 844, 74, 254?

You can find a detailed procedure to find GCD of 312, 844, 74, 254 on our page.

3. How to find GCD of 312, 844, 74, 254 on a calculator?

You can find the GCD of 312, 844, 74, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.