GCD of 272, 421, 986, 419 Calculator

Given Input numbers are 272, 421, 986, 419

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 421

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

1, 421

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 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 272, 421, 986, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 421, 986, 419 is 1.

Therefore, GCD of numbers 272, 421, 986, 419 is 1

Given Input Data is 272, 421, 986, 419

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 421 is 421

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 419 is 419

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(272, 421) = 114512

GCD(272, 421) = ( 272 x 421 ) / 114512

GCD(272, 421) = 114512 / 114512

GCD(272, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 419

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

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

GCD(1, 419) = 419 / 419

GCD(1, 419) = 1

GCD of 272, 421, 986, 419 is 1

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1. What is the GCD of 272, 421, 986, 419?

GCD of 272, 421, 986, 419 is 1

2. Where do I get the detailed procedure to find GCD of 272, 421, 986, 419?

You can find a detailed procedure to find GCD of 272, 421, 986, 419 on our page.

3. How to find GCD of 272, 421, 986, 419 on a calculator?

You can find the GCD of 272, 421, 986, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.