GCD of 688, 470, 136, 164 Calculator

Given Input numbers are 688, 470, 136, 164

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 164

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

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 688, 470, 136, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 470, 136, 164 is 2.

Therefore, GCD of numbers 688, 470, 136, 164 is 2

Given Input Data is 688, 470, 136, 164

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 164 is 2 x 2 x 41

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(688, 470) = 161680

GCD(688, 470) = ( 688 x 470 ) / 161680

GCD(688, 470) = 323360 / 161680

GCD(688, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 136

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

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

GCD(2, 136) = 272 / 136

GCD(2, 136) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

GCD of 688, 470, 136, 164 is 2

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1. What is the GCD of 688, 470, 136, 164?

GCD of 688, 470, 136, 164 is 2

2. Where do I get the detailed procedure to find GCD of 688, 470, 136, 164?

You can find a detailed procedure to find GCD of 688, 470, 136, 164 on our page.

3. How to find GCD of 688, 470, 136, 164 on a calculator?

You can find the GCD of 688, 470, 136, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.