GCD of 642, 506, 214, 208 Calculator

Given Input numbers are 642, 506, 214, 208

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

Divisors of 642

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

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 642, 506, 214, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 506, 214, 208 is 2.

Therefore, GCD of numbers 642, 506, 214, 208 is 2

Given Input Data is 642, 506, 214, 208

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 214 is 2 x 107

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(642, 506) = 162426

GCD(642, 506) = ( 642 x 506 ) / 162426

GCD(642, 506) = 324852 / 162426

GCD(642, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

GCD of 642, 506, 214, 208 is 2

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1. What is the GCD of 642, 506, 214, 208?

GCD of 642, 506, 214, 208 is 2

2. Where do I get the detailed procedure to find GCD of 642, 506, 214, 208?

You can find a detailed procedure to find GCD of 642, 506, 214, 208 on our page.

3. How to find GCD of 642, 506, 214, 208 on a calculator?

You can find the GCD of 642, 506, 214, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.