GCD of 474, 230, 350, 784 Calculator

Given Input numbers are 474, 230, 350, 784

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 474, 230, 350, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 230, 350, 784 is 2.

Therefore, GCD of numbers 474, 230, 350, 784 is 2

Given Input Data is 474, 230, 350, 784

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 350 is 2 x 5 x 5 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(474, 230) = 54510

GCD(474, 230) = ( 474 x 230 ) / 54510

GCD(474, 230) = 109020 / 54510

GCD(474, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 350

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

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

GCD(2, 350) = 700 / 350

GCD(2, 350) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 784

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

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

GCD(2, 784) = 1568 / 784

GCD(2, 784) = 2

GCD of 474, 230, 350, 784 is 2

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1. What is the GCD of 474, 230, 350, 784?

GCD of 474, 230, 350, 784 is 2

2. Where do I get the detailed procedure to find GCD of 474, 230, 350, 784?

You can find a detailed procedure to find GCD of 474, 230, 350, 784 on our page.

3. How to find GCD of 474, 230, 350, 784 on a calculator?

You can find the GCD of 474, 230, 350, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.