GCD of 406, 279, 67, 678 Calculator

Given Input numbers are 406, 279, 67, 678

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 678

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

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

Greatest Common Divisior

We found the divisors of 406, 279, 67, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 279, 67, 678 is 1.

Therefore, GCD of numbers 406, 279, 67, 678 is 1

Given Input Data is 406, 279, 67, 678

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 67 is 67

Prime Factorization of 678 is 2 x 3 x 113

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(406, 279) = 113274

GCD(406, 279) = ( 406 x 279 ) / 113274

GCD(406, 279) = 113274 / 113274

GCD(406, 279) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 406, 279, 67, 678 is 1

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1. What is the GCD of 406, 279, 67, 678?

GCD of 406, 279, 67, 678 is 1

2. Where do I get the detailed procedure to find GCD of 406, 279, 67, 678?

You can find a detailed procedure to find GCD of 406, 279, 67, 678 on our page.

3. How to find GCD of 406, 279, 67, 678 on a calculator?

You can find the GCD of 406, 279, 67, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.