GCD of 986, 144, 297, 466 Calculator

Given Input numbers are 986, 144, 297, 466

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

Divisors of 986

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

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

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 986, 144, 297, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 144, 297, 466 is 1.

Therefore, GCD of numbers 986, 144, 297, 466 is 1

Given Input Data is 986, 144, 297, 466

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 466 is 2 x 233

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(986, 144) = 70992

GCD(986, 144) = ( 986 x 144 ) / 70992

GCD(986, 144) = 141984 / 70992

GCD(986, 144) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 986, 144, 297, 466 is 1

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1. What is the GCD of 986, 144, 297, 466?

GCD of 986, 144, 297, 466 is 1

2. Where do I get the detailed procedure to find GCD of 986, 144, 297, 466?

You can find a detailed procedure to find GCD of 986, 144, 297, 466 on our page.

3. How to find GCD of 986, 144, 297, 466 on a calculator?

You can find the GCD of 986, 144, 297, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.