GCD of 304, 182, 430, 676 Calculator

Given Input numbers are 304, 182, 430, 676

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

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 304, 182, 430, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 182, 430, 676 is 2.

Therefore, GCD of numbers 304, 182, 430, 676 is 2

Given Input Data is 304, 182, 430, 676

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 676 is 2 x 2 x 13 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(304, 182) = 27664

GCD(304, 182) = ( 304 x 182 ) / 27664

GCD(304, 182) = 55328 / 27664

GCD(304, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 430

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

LCM(2, 430) = 430

GCD(2, 430) = ( 2 x 430 ) / 430

GCD(2, 430) = 860 / 430

GCD(2, 430) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

GCD of 304, 182, 430, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 123, 215, 188
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• GCD of 716, 591, 254, 642
• GCD of 684, 621, 664, 952
• GCD of 311, 654, 913, 657

1. What is the GCD of 304, 182, 430, 676?

GCD of 304, 182, 430, 676 is 2

2. Where do I get the detailed procedure to find GCD of 304, 182, 430, 676?

You can find a detailed procedure to find GCD of 304, 182, 430, 676 on our page.

3. How to find GCD of 304, 182, 430, 676 on a calculator?

You can find the GCD of 304, 182, 430, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.