GCD of 987, 239, 782, 498 Calculator

Given Input numbers are 987, 239, 782, 498

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 987, 239, 782, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 239, 782, 498 is 1.

Therefore, GCD of numbers 987, 239, 782, 498 is 1

Given Input Data is 987, 239, 782, 498

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 239 is 239

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 498 is 2 x 3 x 83

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(987, 239) = 235893

GCD(987, 239) = ( 987 x 239 ) / 235893

GCD(987, 239) = 235893 / 235893

GCD(987, 239) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 987, 239, 782, 498 is 1

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1. What is the GCD of 987, 239, 782, 498?

GCD of 987, 239, 782, 498 is 1

2. Where do I get the detailed procedure to find GCD of 987, 239, 782, 498?

You can find a detailed procedure to find GCD of 987, 239, 782, 498 on our page.

3. How to find GCD of 987, 239, 782, 498 on a calculator?

You can find the GCD of 987, 239, 782, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.