GCD of 210, 766, 808, 590 Calculator

Given Input numbers are 210, 766, 808, 590

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 766

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

1, 2, 383, 766

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 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 210, 766, 808, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 766, 808, 590 is 2.

Therefore, GCD of numbers 210, 766, 808, 590 is 2

Given Input Data is 210, 766, 808, 590

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 766 is 2 x 383

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

Prime Factorization of 590 is 2 x 5 x 59

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(210, 766) = 80430

GCD(210, 766) = ( 210 x 766 ) / 80430

GCD(210, 766) = 160860 / 80430

GCD(210, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 808

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

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

GCD(2, 808) = 1616 / 808

GCD(2, 808) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

GCD of 210, 766, 808, 590 is 2

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1. What is the GCD of 210, 766, 808, 590?

GCD of 210, 766, 808, 590 is 2

2. Where do I get the detailed procedure to find GCD of 210, 766, 808, 590?

You can find a detailed procedure to find GCD of 210, 766, 808, 590 on our page.

3. How to find GCD of 210, 766, 808, 590 on a calculator?

You can find the GCD of 210, 766, 808, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.