GCD of 460, 362, 642 Calculator

Given Input numbers are 460, 362, 642

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 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 460, 362, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 362, 642 is 2.

Therefore, GCD of numbers 460, 362, 642 is 2

Given Input Data is 460, 362, 642

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 362 is 2 x 181

Prime Factorization of 642 is 2 x 3 x 107

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, 362) = 83260

GCD(460, 362) = ( 460 x 362 ) / 83260

GCD(460, 362) = 166520 / 83260

GCD(460, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

GCD of 460, 362, 642 is 2

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1. What is the GCD of 460, 362, 642?

GCD of 460, 362, 642 is 2

2. Where do I get the detailed procedure to find GCD of 460, 362, 642?

You can find a detailed procedure to find GCD of 460, 362, 642 on our page.

3. How to find GCD of 460, 362, 642 on a calculator?

You can find the GCD of 460, 362, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.