GCD of 276, 446, 462 Calculator

Given Input numbers are 276, 446, 462

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 276, 446, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 446, 462 is 2.

Therefore, GCD of numbers 276, 446, 462 is 2

Given Input Data is 276, 446, 462

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 446 is 2 x 223

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(276, 446) = 61548

GCD(276, 446) = ( 276 x 446 ) / 61548

GCD(276, 446) = 123096 / 61548

GCD(276, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 462

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

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

GCD(2, 462) = 924 / 462

GCD(2, 462) = 2

GCD of 276, 446, 462 is 2

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1. What is the GCD of 276, 446, 462?

GCD of 276, 446, 462 is 2

2. Where do I get the detailed procedure to find GCD of 276, 446, 462?

You can find a detailed procedure to find GCD of 276, 446, 462 on our page.

3. How to find GCD of 276, 446, 462 on a calculator?

You can find the GCD of 276, 446, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.