GCD of 446, 316, 780, 208 Calculator

Given Input numbers are 446, 316, 780, 208

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 446, 316, 780, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 316, 780, 208 is 2.

Therefore, GCD of numbers 446, 316, 780, 208 is 2

Given Input Data is 446, 316, 780, 208

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(446, 316) = 70468

GCD(446, 316) = ( 446 x 316 ) / 70468

GCD(446, 316) = 140936 / 70468

GCD(446, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

GCD of 446, 316, 780, 208 is 2

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1. What is the GCD of 446, 316, 780, 208?

GCD of 446, 316, 780, 208 is 2

2. Where do I get the detailed procedure to find GCD of 446, 316, 780, 208?

You can find a detailed procedure to find GCD of 446, 316, 780, 208 on our page.

3. How to find GCD of 446, 316, 780, 208 on a calculator?

You can find the GCD of 446, 316, 780, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.