GCD of 301, 426, 56, 714 Calculator

Given Input numbers are 301, 426, 56, 714

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 301, 426, 56, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 426, 56, 714 is 1.

Therefore, GCD of numbers 301, 426, 56, 714 is 1

Given Input Data is 301, 426, 56, 714

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(301, 426) = 128226

GCD(301, 426) = ( 301 x 426 ) / 128226

GCD(301, 426) = 128226 / 128226

GCD(301, 426) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 301, 426, 56, 714 is 1

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1. What is the GCD of 301, 426, 56, 714?

GCD of 301, 426, 56, 714 is 1

2. Where do I get the detailed procedure to find GCD of 301, 426, 56, 714?

You can find a detailed procedure to find GCD of 301, 426, 56, 714 on our page.

3. How to find GCD of 301, 426, 56, 714 on a calculator?

You can find the GCD of 301, 426, 56, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.