GCD of 808, 890, 52, 120 Calculator

Given Input numbers are 808, 890, 52, 120

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 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 808, 890, 52, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 890, 52, 120 is 2.

Therefore, GCD of numbers 808, 890, 52, 120 is 2

Given Input Data is 808, 890, 52, 120

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 890 is 2 x 5 x 89

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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, 890) = 359560

GCD(808, 890) = ( 808 x 890 ) / 359560

GCD(808, 890) = 719120 / 359560

GCD(808, 890) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 120

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

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

GCD(2, 120) = 240 / 120

GCD(2, 120) = 2

GCD of 808, 890, 52, 120 is 2

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1. What is the GCD of 808, 890, 52, 120?

GCD of 808, 890, 52, 120 is 2

2. Where do I get the detailed procedure to find GCD of 808, 890, 52, 120?

You can find a detailed procedure to find GCD of 808, 890, 52, 120 on our page.

3. How to find GCD of 808, 890, 52, 120 on a calculator?

You can find the GCD of 808, 890, 52, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.