GCD of 272, 769, 39, 474 Calculator

Given Input numbers are 272, 769, 39, 474

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 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 272, 769, 39, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 769, 39, 474 is 1.

Therefore, GCD of numbers 272, 769, 39, 474 is 1

Given Input Data is 272, 769, 39, 474

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 769 is 769

Prime Factorization of 39 is 3 x 13

Prime Factorization of 474 is 2 x 3 x 79

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, 769) = 209168

GCD(272, 769) = ( 272 x 769 ) / 209168

GCD(272, 769) = 209168 / 209168

GCD(272, 769) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 272, 769, 39, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 583, 94, 358
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• GCD of 285, 609, 79, 870

1. What is the GCD of 272, 769, 39, 474?

GCD of 272, 769, 39, 474 is 1

2. Where do I get the detailed procedure to find GCD of 272, 769, 39, 474?

You can find a detailed procedure to find GCD of 272, 769, 39, 474 on our page.

3. How to find GCD of 272, 769, 39, 474 on a calculator?

You can find the GCD of 272, 769, 39, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.