GCD of 406, 708, 132, 276 Calculator

Given Input numbers are 406, 708, 132, 276

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

Greatest Common Divisior

We found the divisors of 406, 708, 132, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 708, 132, 276 is 2.

Therefore, GCD of numbers 406, 708, 132, 276 is 2

Given Input Data is 406, 708, 132, 276

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 132 is 2 x 2 x 3 x 11

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

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(406, 708) = 143724

GCD(406, 708) = ( 406 x 708 ) / 143724

GCD(406, 708) = 287448 / 143724

GCD(406, 708) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 276

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

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

GCD(2, 276) = 552 / 276

GCD(2, 276) = 2

GCD of 406, 708, 132, 276 is 2

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1. What is the GCD of 406, 708, 132, 276?

GCD of 406, 708, 132, 276 is 2

2. Where do I get the detailed procedure to find GCD of 406, 708, 132, 276?

You can find a detailed procedure to find GCD of 406, 708, 132, 276 on our page.

3. How to find GCD of 406, 708, 132, 276 on a calculator?

You can find the GCD of 406, 708, 132, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.