GCD of 14, 986, 421, 577 Calculator

Given Input numbers are 14, 986, 421, 577

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 421

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

1, 421

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 14, 986, 421, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 986, 421, 577 is 1.

Therefore, GCD of numbers 14, 986, 421, 577 is 1

Given Input Data is 14, 986, 421, 577

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 421 is 421

Prime Factorization of 577 is 577

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(14, 986) = 6902

GCD(14, 986) = ( 14 x 986 ) / 6902

GCD(14, 986) = 13804 / 6902

GCD(14, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 421

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

LCM(2, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

GCD(2, 421) = 842 / 842

GCD(2, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 14, 986, 421, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 550, 848, 684
• GCD of 23, 690, 932, 727
• GCD of 24, 821, 431, 573
• GCD of 75, 678, 151, 405
• GCD of 85, 412, 120, 167

1. What is the GCD of 14, 986, 421, 577?

GCD of 14, 986, 421, 577 is 1

2. Where do I get the detailed procedure to find GCD of 14, 986, 421, 577?

You can find a detailed procedure to find GCD of 14, 986, 421, 577 on our page.

3. How to find GCD of 14, 986, 421, 577 on a calculator?

You can find the GCD of 14, 986, 421, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.