GCD of 460, 422, 408, 332 Calculator

Given Input numbers are 460, 422, 408, 332

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 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 460, 422, 408, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 422, 408, 332 is 2.

Therefore, GCD of numbers 460, 422, 408, 332 is 2

Given Input Data is 460, 422, 408, 332

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 422 is 2 x 211

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 332 is 2 x 2 x 83

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, 422) = 97060

GCD(460, 422) = ( 460 x 422 ) / 97060

GCD(460, 422) = 194120 / 97060

GCD(460, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 332

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

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

GCD(2, 332) = 664 / 332

GCD(2, 332) = 2

GCD of 460, 422, 408, 332 is 2

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• GCD of 129, 568, 112, 118
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1. What is the GCD of 460, 422, 408, 332?

GCD of 460, 422, 408, 332 is 2

2. Where do I get the detailed procedure to find GCD of 460, 422, 408, 332?

You can find a detailed procedure to find GCD of 460, 422, 408, 332 on our page.

3. How to find GCD of 460, 422, 408, 332 on a calculator?

You can find the GCD of 460, 422, 408, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.