GCD of 998, 468, 311, 141 Calculator

Given Input numbers are 998, 468, 311, 141

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 998, 468, 311, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 468, 311, 141 is 1.

Therefore, GCD of numbers 998, 468, 311, 141 is 1

Given Input Data is 998, 468, 311, 141

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 311 is 311

Prime Factorization of 141 is 3 x 47

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(998, 468) = 233532

GCD(998, 468) = ( 998 x 468 ) / 233532

GCD(998, 468) = 467064 / 233532

GCD(998, 468) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 998, 468, 311, 141 is 1

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1. What is the GCD of 998, 468, 311, 141?

GCD of 998, 468, 311, 141 is 1

2. Where do I get the detailed procedure to find GCD of 998, 468, 311, 141?

You can find a detailed procedure to find GCD of 998, 468, 311, 141 on our page.

3. How to find GCD of 998, 468, 311, 141 on a calculator?

You can find the GCD of 998, 468, 311, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.