GCD of 798, 206, 487, 784 Calculator

Given Input numbers are 798, 206, 487, 784

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 798, 206, 487, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 206, 487, 784 is 1.

Therefore, GCD of numbers 798, 206, 487, 784 is 1

Given Input Data is 798, 206, 487, 784

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 206 is 2 x 103

Prime Factorization of 487 is 487

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(798, 206) = 82194

GCD(798, 206) = ( 798 x 206 ) / 82194

GCD(798, 206) = 164388 / 82194

GCD(798, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 487

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

LCM(2, 487) = 974

GCD(2, 487) = ( 2 x 487 ) / 974

GCD(2, 487) = 974 / 974

GCD(2, 487) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 798, 206, 487, 784 is 1

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1. What is the GCD of 798, 206, 487, 784?

GCD of 798, 206, 487, 784 is 1

2. Where do I get the detailed procedure to find GCD of 798, 206, 487, 784?

You can find a detailed procedure to find GCD of 798, 206, 487, 784 on our page.

3. How to find GCD of 798, 206, 487, 784 on a calculator?

You can find the GCD of 798, 206, 487, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.