GCD of 497, 309, 46, 271 Calculator

Given Input numbers are 497, 309, 46, 271

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 309

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

1, 3, 103, 309

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 271

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

1, 271

Greatest Common Divisior

We found the divisors of 497, 309, 46, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 309, 46, 271 is 1.

Therefore, GCD of numbers 497, 309, 46, 271 is 1

Given Input Data is 497, 309, 46, 271

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 309 is 3 x 103

Prime Factorization of 46 is 2 x 23

Prime Factorization of 271 is 271

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(497, 309) = 153573

GCD(497, 309) = ( 497 x 309 ) / 153573

GCD(497, 309) = 153573 / 153573

GCD(497, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 497, 309, 46, 271 is 1

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• GCD of 854, 855, 25, 504
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• GCD of 270, 406, 70, 309

1. What is the GCD of 497, 309, 46, 271?

GCD of 497, 309, 46, 271 is 1

2. Where do I get the detailed procedure to find GCD of 497, 309, 46, 271?

You can find a detailed procedure to find GCD of 497, 309, 46, 271 on our page.

3. How to find GCD of 497, 309, 46, 271 on a calculator?

You can find the GCD of 497, 309, 46, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.