GCD of 471, 309, 271, 995 Calculator

Given Input numbers are 471, 309, 271, 995

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 271

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

1, 271

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Greatest Common Divisior

We found the divisors of 471, 309, 271, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 309, 271, 995 is 1.

Therefore, GCD of numbers 471, 309, 271, 995 is 1

Given Input Data is 471, 309, 271, 995

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 309 is 3 x 103

Prime Factorization of 271 is 271

Prime Factorization of 995 is 5 x 199

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(471, 309) = 48513

GCD(471, 309) = ( 471 x 309 ) / 48513

GCD(471, 309) = 145539 / 48513

GCD(471, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 271

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

LCM(3, 271) = 813

GCD(3, 271) = ( 3 x 271 ) / 813

GCD(3, 271) = 813 / 813

GCD(3, 271) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 995

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

LCM(1, 995) = 995

GCD(1, 995) = ( 1 x 995 ) / 995

GCD(1, 995) = 995 / 995

GCD(1, 995) = 1

GCD of 471, 309, 271, 995 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 747, 554, 273
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• GCD of 347, 834, 263, 852

1. What is the GCD of 471, 309, 271, 995?

GCD of 471, 309, 271, 995 is 1

2. Where do I get the detailed procedure to find GCD of 471, 309, 271, 995?

You can find a detailed procedure to find GCD of 471, 309, 271, 995 on our page.

3. How to find GCD of 471, 309, 271, 995 on a calculator?

You can find the GCD of 471, 309, 271, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.