GCD of 460, 376, 306 Calculator

Given Input numbers are 460, 376, 306

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 460, 376, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 376, 306 is 2.

Therefore, GCD of numbers 460, 376, 306 is 2

Given Input Data is 460, 376, 306

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(460, 376) = 43240

GCD(460, 376) = ( 460 x 376 ) / 43240

GCD(460, 376) = 172960 / 43240

GCD(460, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 306

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

LCM(4, 306) = 612

GCD(4, 306) = ( 4 x 306 ) / 612

GCD(4, 306) = 1224 / 612

GCD(4, 306) = 2

GCD of 460, 376, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 548, 657
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• GCD of 477, 160, 581
• GCD of 127, 337, 459
• GCD of 221, 517, 161

1. What is the GCD of 460, 376, 306?

GCD of 460, 376, 306 is 2

2. Where do I get the detailed procedure to find GCD of 460, 376, 306?

You can find a detailed procedure to find GCD of 460, 376, 306 on our page.

3. How to find GCD of 460, 376, 306 on a calculator?

You can find the GCD of 460, 376, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.