GCD of 646, 934, 68, 254 Calculator

Given Input numbers are 646, 934, 68, 254

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 934

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

1, 2, 467, 934

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 646, 934, 68, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 934, 68, 254 is 2.

Therefore, GCD of numbers 646, 934, 68, 254 is 2

Given Input Data is 646, 934, 68, 254

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 934 is 2 x 467

Prime Factorization of 68 is 2 x 2 x 17

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(646, 934) = 301682

GCD(646, 934) = ( 646 x 934 ) / 301682

GCD(646, 934) = 603364 / 301682

GCD(646, 934) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 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 646, 934, 68, 254 is 2

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1. What is the GCD of 646, 934, 68, 254?

GCD of 646, 934, 68, 254 is 2

2. Where do I get the detailed procedure to find GCD of 646, 934, 68, 254?

You can find a detailed procedure to find GCD of 646, 934, 68, 254 on our page.

3. How to find GCD of 646, 934, 68, 254 on a calculator?

You can find the GCD of 646, 934, 68, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.