GCD of 496, 309, 676 Calculator

Given Input numbers are 496, 309, 676

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 496, 309, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 309, 676 is 1.

Therefore, GCD of numbers 496, 309, 676 is 1

Given Input Data is 496, 309, 676

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 309 is 3 x 103

Prime Factorization of 676 is 2 x 2 x 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(496, 309) = 153264

GCD(496, 309) = ( 496 x 309 ) / 153264

GCD(496, 309) = 153264 / 153264

GCD(496, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 496, 309, 676 is 1

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• GCD of 339, 581, 323
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1. What is the GCD of 496, 309, 676?

GCD of 496, 309, 676 is 1

2. Where do I get the detailed procedure to find GCD of 496, 309, 676?

You can find a detailed procedure to find GCD of 496, 309, 676 on our page.

3. How to find GCD of 496, 309, 676 on a calculator?

You can find the GCD of 496, 309, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.