GCD of 421, 586, 314, 377 Calculator

Given Input numbers are 421, 586, 314, 377

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 421, 586, 314, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 586, 314, 377 is 1.

Therefore, GCD of numbers 421, 586, 314, 377 is 1

Given Input Data is 421, 586, 314, 377

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

Prime Factorization of 421 is 421

Prime Factorization of 586 is 2 x 293

Prime Factorization of 314 is 2 x 157

Prime Factorization of 377 is 13 x 29

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(421, 586) = 246706

GCD(421, 586) = ( 421 x 586 ) / 246706

GCD(421, 586) = 246706 / 246706

GCD(421, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 421, 586, 314, 377 is 1

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1. What is the GCD of 421, 586, 314, 377?

GCD of 421, 586, 314, 377 is 1

2. Where do I get the detailed procedure to find GCD of 421, 586, 314, 377?

You can find a detailed procedure to find GCD of 421, 586, 314, 377 on our page.

3. How to find GCD of 421, 586, 314, 377 on a calculator?

You can find the GCD of 421, 586, 314, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.