GCD of 272, 289, 477 Calculator

Given Input numbers are 272, 289, 477

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 272, 289, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 289, 477 is 1.

Therefore, GCD of numbers 272, 289, 477 is 1

Given Input Data is 272, 289, 477

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 289 is 17 x 17

Prime Factorization of 477 is 3 x 3 x 53

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, 289) = 4624

GCD(272, 289) = ( 272 x 289 ) / 4624

GCD(272, 289) = 78608 / 4624

GCD(272, 289) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 477

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

LCM(17, 477) = 8109

GCD(17, 477) = ( 17 x 477 ) / 8109

GCD(17, 477) = 8109 / 8109

GCD(17, 477) = 1

GCD of 272, 289, 477 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 758, 181
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• GCD of 289, 627, 781
• GCD of 210, 630, 992
• GCD of 505, 135, 846

1. What is the GCD of 272, 289, 477?

GCD of 272, 289, 477 is 1

2. Where do I get the detailed procedure to find GCD of 272, 289, 477?

You can find a detailed procedure to find GCD of 272, 289, 477 on our page.

3. How to find GCD of 272, 289, 477 on a calculator?

You can find the GCD of 272, 289, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.