GCD of 473, 112, 24, 986 Calculator

Given Input numbers are 473, 112, 24, 986

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

Divisors of 473

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

1, 11, 43, 473

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 473, 112, 24, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 112, 24, 986 is 1.

Therefore, GCD of numbers 473, 112, 24, 986 is 1

Given Input Data is 473, 112, 24, 986

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 986 is 2 x 17 x 29

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(473, 112) = 52976

GCD(473, 112) = ( 473 x 112 ) / 52976

GCD(473, 112) = 52976 / 52976

GCD(473, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 473, 112, 24, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 495, 80, 985
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• GCD of 862, 427, 82, 146

1. What is the GCD of 473, 112, 24, 986?

GCD of 473, 112, 24, 986 is 1

2. Where do I get the detailed procedure to find GCD of 473, 112, 24, 986?

You can find a detailed procedure to find GCD of 473, 112, 24, 986 on our page.

3. How to find GCD of 473, 112, 24, 986 on a calculator?

You can find the GCD of 473, 112, 24, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.