GCD of 271, 770, 65, 822 Calculator

Given Input numbers are 271, 770, 65, 822

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 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 271, 770, 65, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 770, 65, 822 is 1.

Therefore, GCD of numbers 271, 770, 65, 822 is 1

Given Input Data is 271, 770, 65, 822

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

Prime Factorization of 271 is 271

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 65 is 5 x 13

Prime Factorization of 822 is 2 x 3 x 137

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, 770) = 208670

GCD(271, 770) = ( 271 x 770 ) / 208670

GCD(271, 770) = 208670 / 208670

GCD(271, 770) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 271, 770, 65, 822 is 1

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1. What is the GCD of 271, 770, 65, 822?

GCD of 271, 770, 65, 822 is 1

2. Where do I get the detailed procedure to find GCD of 271, 770, 65, 822?

You can find a detailed procedure to find GCD of 271, 770, 65, 822 on our page.

3. How to find GCD of 271, 770, 65, 822 on a calculator?

You can find the GCD of 271, 770, 65, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.