GCD of 113, 418, 53, 872 Calculator

Given Input numbers are 113, 418, 53, 872

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 113, 418, 53, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 418, 53, 872 is 1.

Therefore, GCD of numbers 113, 418, 53, 872 is 1

Given Input Data is 113, 418, 53, 872

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

Prime Factorization of 113 is 113

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 53 is 53

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(113, 418) = 47234

GCD(113, 418) = ( 113 x 418 ) / 47234

GCD(113, 418) = 47234 / 47234

GCD(113, 418) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 113, 418, 53, 872 is 1

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• GCD of 801, 770, 67, 371
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1. What is the GCD of 113, 418, 53, 872?

GCD of 113, 418, 53, 872 is 1

2. Where do I get the detailed procedure to find GCD of 113, 418, 53, 872?

You can find a detailed procedure to find GCD of 113, 418, 53, 872 on our page.

3. How to find GCD of 113, 418, 53, 872 on a calculator?

You can find the GCD of 113, 418, 53, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.