GCD of 274, 412, 54, 934 Calculator

Given Input numbers are 274, 412, 54, 934

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Greatest Common Divisior

We found the divisors of 274, 412, 54, 934 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 412, 54, 934 is 2.

Therefore, GCD of numbers 274, 412, 54, 934 is 2

Given Input Data is 274, 412, 54, 934

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 934 is 2 x 467

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(274, 412) = 56444

GCD(274, 412) = ( 274 x 412 ) / 56444

GCD(274, 412) = 112888 / 56444

GCD(274, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 934

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

LCM(2, 934) = 934

GCD(2, 934) = ( 2 x 934 ) / 934

GCD(2, 934) = 1868 / 934

GCD(2, 934) = 2

GCD of 274, 412, 54, 934 is 2

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1. What is the GCD of 274, 412, 54, 934?

GCD of 274, 412, 54, 934 is 2

2. Where do I get the detailed procedure to find GCD of 274, 412, 54, 934?

You can find a detailed procedure to find GCD of 274, 412, 54, 934 on our page.

3. How to find GCD of 274, 412, 54, 934 on a calculator?

You can find the GCD of 274, 412, 54, 934 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.