GCD of 271, 270, 945, 577 Calculator

Given Input numbers are 271, 270, 945, 577

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 271, 270, 945, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 270, 945, 577 is 1.

Therefore, GCD of numbers 271, 270, 945, 577 is 1

Given Input Data is 271, 270, 945, 577

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

Prime Factorization of 271 is 271

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 577 is 577

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(271, 270) = 73170

GCD(271, 270) = ( 271 x 270 ) / 73170

GCD(271, 270) = 73170 / 73170

GCD(271, 270) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 271, 270, 945, 577 is 1

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1. What is the GCD of 271, 270, 945, 577?

GCD of 271, 270, 945, 577 is 1

2. Where do I get the detailed procedure to find GCD of 271, 270, 945, 577?

You can find a detailed procedure to find GCD of 271, 270, 945, 577 on our page.

3. How to find GCD of 271, 270, 945, 577 on a calculator?

You can find the GCD of 271, 270, 945, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.