GCD of 328, 646, 296, 980 Calculator

Given Input numbers are 328, 646, 296, 980

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 328, 646, 296, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 646, 296, 980 is 2.

Therefore, GCD of numbers 328, 646, 296, 980 is 2

Given Input Data is 328, 646, 296, 980

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 980 is 2 x 2 x 5 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(328, 646) = 105944

GCD(328, 646) = ( 328 x 646 ) / 105944

GCD(328, 646) = 211888 / 105944

GCD(328, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 296

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

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

GCD(2, 296) = 592 / 296

GCD(2, 296) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 980

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

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

GCD(2, 980) = 1960 / 980

GCD(2, 980) = 2

GCD of 328, 646, 296, 980 is 2

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1. What is the GCD of 328, 646, 296, 980?

GCD of 328, 646, 296, 980 is 2

2. Where do I get the detailed procedure to find GCD of 328, 646, 296, 980?

You can find a detailed procedure to find GCD of 328, 646, 296, 980 on our page.

3. How to find GCD of 328, 646, 296, 980 on a calculator?

You can find the GCD of 328, 646, 296, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.