GCD of 116, 473, 53, 672 Calculator

Given Input numbers are 116, 473, 53, 672

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 53

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

1, 53

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 116, 473, 53, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 473, 53, 672 is 1.

Therefore, GCD of numbers 116, 473, 53, 672 is 1

Given Input Data is 116, 473, 53, 672

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 473 is 11 x 43

Prime Factorization of 53 is 53

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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(116, 473) = 54868

GCD(116, 473) = ( 116 x 473 ) / 54868

GCD(116, 473) = 54868 / 54868

GCD(116, 473) = 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 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 116, 473, 53, 672 is 1

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1. What is the GCD of 116, 473, 53, 672?

GCD of 116, 473, 53, 672 is 1

2. Where do I get the detailed procedure to find GCD of 116, 473, 53, 672?

You can find a detailed procedure to find GCD of 116, 473, 53, 672 on our page.

3. How to find GCD of 116, 473, 53, 672 on a calculator?

You can find the GCD of 116, 473, 53, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.