GCD of 988, 446, 72, 466 Calculator

Given Input numbers are 988, 446, 72, 466

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 988, 446, 72, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 446, 72, 466 is 2.

Therefore, GCD of numbers 988, 446, 72, 466 is 2

Given Input Data is 988, 446, 72, 466

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 446 is 2 x 223

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 466 is 2 x 233

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(988, 446) = 220324

GCD(988, 446) = ( 988 x 446 ) / 220324

GCD(988, 446) = 440648 / 220324

GCD(988, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

GCD of 988, 446, 72, 466 is 2

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1. What is the GCD of 988, 446, 72, 466?

GCD of 988, 446, 72, 466 is 2

2. Where do I get the detailed procedure to find GCD of 988, 446, 72, 466?

You can find a detailed procedure to find GCD of 988, 446, 72, 466 on our page.

3. How to find GCD of 988, 446, 72, 466 on a calculator?

You can find the GCD of 988, 446, 72, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.