GCD of 270, 528, 79, 566 Calculator

Given Input numbers are 270, 528, 79, 566

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 79

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

1, 79

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 270, 528, 79, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 528, 79, 566 is 1.

Therefore, GCD of numbers 270, 528, 79, 566 is 1

Given Input Data is 270, 528, 79, 566

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 79 is 79

Prime Factorization of 566 is 2 x 283

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(270, 528) = 23760

GCD(270, 528) = ( 270 x 528 ) / 23760

GCD(270, 528) = 142560 / 23760

GCD(270, 528) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 79

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

LCM(6, 79) = 474

GCD(6, 79) = ( 6 x 79 ) / 474

GCD(6, 79) = 474 / 474

GCD(6, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 270, 528, 79, 566 is 1

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1. What is the GCD of 270, 528, 79, 566?

GCD of 270, 528, 79, 566 is 1

2. Where do I get the detailed procedure to find GCD of 270, 528, 79, 566?

You can find a detailed procedure to find GCD of 270, 528, 79, 566 on our page.

3. How to find GCD of 270, 528, 79, 566 on a calculator?

You can find the GCD of 270, 528, 79, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.