GCD of 808, 290, 690, 138 Calculator

Given Input numbers are 808, 290, 690, 138

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 808, 290, 690, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 290, 690, 138 is 2.

Therefore, GCD of numbers 808, 290, 690, 138 is 2

Given Input Data is 808, 290, 690, 138

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 138 is 2 x 3 x 23

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(808, 290) = 117160

GCD(808, 290) = ( 808 x 290 ) / 117160

GCD(808, 290) = 234320 / 117160

GCD(808, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 690

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

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

GCD(2, 690) = 1380 / 690

GCD(2, 690) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

GCD of 808, 290, 690, 138 is 2

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1. What is the GCD of 808, 290, 690, 138?

GCD of 808, 290, 690, 138 is 2

2. Where do I get the detailed procedure to find GCD of 808, 290, 690, 138?

You can find a detailed procedure to find GCD of 808, 290, 690, 138 on our page.

3. How to find GCD of 808, 290, 690, 138 on a calculator?

You can find the GCD of 808, 290, 690, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.