GCD of 208, 656, 164, 766 Calculator

Given Input numbers are 208, 656, 164, 766

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

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 208, 656, 164, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 656, 164, 766 is 2.

Therefore, GCD of numbers 208, 656, 164, 766 is 2

Given Input Data is 208, 656, 164, 766

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

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 766 is 2 x 383

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(208, 656) = 8528

GCD(208, 656) = ( 208 x 656 ) / 8528

GCD(208, 656) = 136448 / 8528

GCD(208, 656) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 164

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

LCM(16, 164) = 656

GCD(16, 164) = ( 16 x 164 ) / 656

GCD(16, 164) = 2624 / 656

GCD(16, 164) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 766

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

LCM(4, 766) = 1532

GCD(4, 766) = ( 4 x 766 ) / 1532

GCD(4, 766) = 3064 / 1532

GCD(4, 766) = 2

GCD of 208, 656, 164, 766 is 2

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1. What is the GCD of 208, 656, 164, 766?

GCD of 208, 656, 164, 766 is 2

2. Where do I get the detailed procedure to find GCD of 208, 656, 164, 766?

You can find a detailed procedure to find GCD of 208, 656, 164, 766 on our page.

3. How to find GCD of 208, 656, 164, 766 on a calculator?

You can find the GCD of 208, 656, 164, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.