GCD of 418, 567, 798, 784 Calculator

Given Input numbers are 418, 567, 798, 784

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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 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 418, 567, 798, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 567, 798, 784 is 1.

Therefore, GCD of numbers 418, 567, 798, 784 is 1

Given Input Data is 418, 567, 798, 784

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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

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(418, 567) = 237006

GCD(418, 567) = ( 418 x 567 ) / 237006

GCD(418, 567) = 237006 / 237006

GCD(418, 567) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 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 418, 567, 798, 784 is 1

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1. What is the GCD of 418, 567, 798, 784?

GCD of 418, 567, 798, 784 is 1

2. Where do I get the detailed procedure to find GCD of 418, 567, 798, 784?

You can find a detailed procedure to find GCD of 418, 567, 798, 784 on our page.

3. How to find GCD of 418, 567, 798, 784 on a calculator?

You can find the GCD of 418, 567, 798, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.