GCD of 501, 243, 176, 982 Calculator

Given Input numbers are 501, 243, 176, 982

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 501, 243, 176, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 243, 176, 982 is 1.

Therefore, GCD of numbers 501, 243, 176, 982 is 1

Given Input Data is 501, 243, 176, 982

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 982 is 2 x 491

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(501, 243) = 40581

GCD(501, 243) = ( 501 x 243 ) / 40581

GCD(501, 243) = 121743 / 40581

GCD(501, 243) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 176

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

LCM(3, 176) = 528

GCD(3, 176) = ( 3 x 176 ) / 528

GCD(3, 176) = 528 / 528

GCD(3, 176) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 501, 243, 176, 982 is 1

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1. What is the GCD of 501, 243, 176, 982?

GCD of 501, 243, 176, 982 is 1

2. Where do I get the detailed procedure to find GCD of 501, 243, 176, 982?

You can find a detailed procedure to find GCD of 501, 243, 176, 982 on our page.

3. How to find GCD of 501, 243, 176, 982 on a calculator?

You can find the GCD of 501, 243, 176, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.