GCD of 476, 116, 338, 964 Calculator

Given Input numbers are 476, 116, 338, 964

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 476, 116, 338, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 116, 338, 964 is 2.

Therefore, GCD of numbers 476, 116, 338, 964 is 2

Given Input Data is 476, 116, 338, 964

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 964 is 2 x 2 x 241

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(476, 116) = 13804

GCD(476, 116) = ( 476 x 116 ) / 13804

GCD(476, 116) = 55216 / 13804

GCD(476, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 338

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

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

GCD(4, 338) = 1352 / 676

GCD(4, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

GCD of 476, 116, 338, 964 is 2

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1. What is the GCD of 476, 116, 338, 964?

GCD of 476, 116, 338, 964 is 2

2. Where do I get the detailed procedure to find GCD of 476, 116, 338, 964?

You can find a detailed procedure to find GCD of 476, 116, 338, 964 on our page.

3. How to find GCD of 476, 116, 338, 964 on a calculator?

You can find the GCD of 476, 116, 338, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.