GCD of 272, 606, 79, 583 Calculator

Given Input numbers are 272, 606, 79, 583

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 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 272, 606, 79, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 606, 79, 583 is 1.

Therefore, GCD of numbers 272, 606, 79, 583 is 1

Given Input Data is 272, 606, 79, 583

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 606 is 2 x 3 x 101

Prime Factorization of 79 is 79

Prime Factorization of 583 is 11 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, 606) = 82416

GCD(272, 606) = ( 272 x 606 ) / 82416

GCD(272, 606) = 164832 / 82416

GCD(272, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 272, 606, 79, 583 is 1

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1. What is the GCD of 272, 606, 79, 583?

GCD of 272, 606, 79, 583 is 1

2. Where do I get the detailed procedure to find GCD of 272, 606, 79, 583?

You can find a detailed procedure to find GCD of 272, 606, 79, 583 on our page.

3. How to find GCD of 272, 606, 79, 583 on a calculator?

You can find the GCD of 272, 606, 79, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.