GCD of 271, 771, 633, 720 Calculator

Given Input numbers are 271, 771, 633, 720

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 271, 771, 633, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 771, 633, 720 is 1.

Therefore, GCD of numbers 271, 771, 633, 720 is 1

Given Input Data is 271, 771, 633, 720

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

Prime Factorization of 271 is 271

Prime Factorization of 771 is 3 x 257

Prime Factorization of 633 is 3 x 211

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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, 771) = 208941

GCD(271, 771) = ( 271 x 771 ) / 208941

GCD(271, 771) = 208941 / 208941

GCD(271, 771) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 271, 771, 633, 720 is 1

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1. What is the GCD of 271, 771, 633, 720?

GCD of 271, 771, 633, 720 is 1

2. Where do I get the detailed procedure to find GCD of 271, 771, 633, 720?

You can find a detailed procedure to find GCD of 271, 771, 633, 720 on our page.

3. How to find GCD of 271, 771, 633, 720 on a calculator?

You can find the GCD of 271, 771, 633, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.