GCD of 784, 394, 66, 920 Calculator

Given Input numbers are 784, 394, 66, 920

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 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 784, 394, 66, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 394, 66, 920 is 2.

Therefore, GCD of numbers 784, 394, 66, 920 is 2

Given Input Data is 784, 394, 66, 920

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 394 is 2 x 197

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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, 394) = 154448

GCD(784, 394) = ( 784 x 394 ) / 154448

GCD(784, 394) = 308896 / 154448

GCD(784, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

GCD of 784, 394, 66, 920 is 2

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1. What is the GCD of 784, 394, 66, 920?

GCD of 784, 394, 66, 920 is 2

2. Where do I get the detailed procedure to find GCD of 784, 394, 66, 920?

You can find a detailed procedure to find GCD of 784, 394, 66, 920 on our page.

3. How to find GCD of 784, 394, 66, 920 on a calculator?

You can find the GCD of 784, 394, 66, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.