GCD of 366, 668, 146, 784 Calculator

Given Input numbers are 366, 668, 146, 784

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

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 366, 668, 146, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 668, 146, 784 is 2.

Therefore, GCD of numbers 366, 668, 146, 784 is 2

Given Input Data is 366, 668, 146, 784

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 146 is 2 x 73

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(366, 668) = 122244

GCD(366, 668) = ( 366 x 668 ) / 122244

GCD(366, 668) = 244488 / 122244

GCD(366, 668) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 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 366, 668, 146, 784 is 2

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1. What is the GCD of 366, 668, 146, 784?

GCD of 366, 668, 146, 784 is 2

2. Where do I get the detailed procedure to find GCD of 366, 668, 146, 784?

You can find a detailed procedure to find GCD of 366, 668, 146, 784 on our page.

3. How to find GCD of 366, 668, 146, 784 on a calculator?

You can find the GCD of 366, 668, 146, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.