GCD of 78, 312, 456, 934 Calculator

Given Input numbers are 78, 312, 456, 934

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 78, 312, 456, 934 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 312, 456, 934 is 2.

Therefore, GCD of numbers 78, 312, 456, 934 is 2

Given Input Data is 78, 312, 456, 934

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

Prime Factorization of 78 is 2 x 3 x 13

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(78, 312) = 312

GCD(78, 312) = ( 78 x 312 ) / 312

GCD(78, 312) = 24336 / 312

GCD(78, 312) = 78

Step2:

Here we consider the GCD from the above i.e. 78 as first number and the next as 456

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

LCM(78, 456) = 5928

GCD(78, 456) = ( 78 x 456 ) / 5928

GCD(78, 456) = 35568 / 5928

GCD(78, 456) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 934

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

LCM(6, 934) = 2802

GCD(6, 934) = ( 6 x 934 ) / 2802

GCD(6, 934) = 5604 / 2802

GCD(6, 934) = 2

GCD of 78, 312, 456, 934 is 2

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1. What is the GCD of 78, 312, 456, 934?

GCD of 78, 312, 456, 934 is 2

2. Where do I get the detailed procedure to find GCD of 78, 312, 456, 934?

You can find a detailed procedure to find GCD of 78, 312, 456, 934 on our page.

3. How to find GCD of 78, 312, 456, 934 on a calculator?

You can find the GCD of 78, 312, 456, 934 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.