GCD of 678, 934, 54, 683 Calculator

Given Input numbers are 678, 934, 54, 683

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 934

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

1, 2, 467, 934

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 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 678, 934, 54, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 934, 54, 683 is 1.

Therefore, GCD of numbers 678, 934, 54, 683 is 1

Given Input Data is 678, 934, 54, 683

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 934 is 2 x 467

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

Prime Factorization of 683 is 683

The above numbers do not have any common prime factor. So GCD is 1

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(678, 934) = 316626

GCD(678, 934) = ( 678 x 934 ) / 316626

GCD(678, 934) = 633252 / 316626

GCD(678, 934) = 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 683

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

LCM(2, 683) = 1366

GCD(2, 683) = ( 2 x 683 ) / 1366

GCD(2, 683) = 1366 / 1366

GCD(2, 683) = 1

GCD of 678, 934, 54, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 524, 54, 526
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• GCD of 836, 249, 94, 870

1. What is the GCD of 678, 934, 54, 683?

GCD of 678, 934, 54, 683 is 1

2. Where do I get the detailed procedure to find GCD of 678, 934, 54, 683?

You can find a detailed procedure to find GCD of 678, 934, 54, 683 on our page.

3. How to find GCD of 678, 934, 54, 683 on a calculator?

You can find the GCD of 678, 934, 54, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.