GCD of 271, 107, 49, 953 Calculator

Given Input numbers are 271, 107, 49, 953

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 271, 107, 49, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 107, 49, 953 is 1.

Therefore, GCD of numbers 271, 107, 49, 953 is 1

Given Input Data is 271, 107, 49, 953

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

Prime Factorization of 271 is 271

Prime Factorization of 107 is 107

Prime Factorization of 49 is 7 x 7

Prime Factorization of 953 is 953

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, 107) = 28997

GCD(271, 107) = ( 271 x 107 ) / 28997

GCD(271, 107) = 28997 / 28997

GCD(271, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 271, 107, 49, 953 is 1

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1. What is the GCD of 271, 107, 49, 953?

GCD of 271, 107, 49, 953 is 1

2. Where do I get the detailed procedure to find GCD of 271, 107, 49, 953?

You can find a detailed procedure to find GCD of 271, 107, 49, 953 on our page.

3. How to find GCD of 271, 107, 49, 953 on a calculator?

You can find the GCD of 271, 107, 49, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.