GCD of 784, 474, 380 Calculator

Given Input numbers are 784, 474, 380

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

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

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 784, 474, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 474, 380 is 2.

Therefore, GCD of numbers 784, 474, 380 is 2

Given Input Data is 784, 474, 380

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

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(784, 474) = 185808

GCD(784, 474) = ( 784 x 474 ) / 185808

GCD(784, 474) = 371616 / 185808

GCD(784, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 380

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

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

GCD(2, 380) = 760 / 380

GCD(2, 380) = 2

GCD of 784, 474, 380 is 2

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1. What is the GCD of 784, 474, 380?

GCD of 784, 474, 380 is 2

2. Where do I get the detailed procedure to find GCD of 784, 474, 380?

You can find a detailed procedure to find GCD of 784, 474, 380 on our page.

3. How to find GCD of 784, 474, 380 on a calculator?

You can find the GCD of 784, 474, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.