GCD of 408, 870, 80, 902 Calculator

Given Input numbers are 408, 870, 80, 902

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 408, 870, 80, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 870, 80, 902 is 2.

Therefore, GCD of numbers 408, 870, 80, 902 is 2

Given Input Data is 408, 870, 80, 902

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 902 is 2 x 11 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(408, 870) = 59160

GCD(408, 870) = ( 408 x 870 ) / 59160

GCD(408, 870) = 354960 / 59160

GCD(408, 870) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 80

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

LCM(6, 80) = 240

GCD(6, 80) = ( 6 x 80 ) / 240

GCD(6, 80) = 480 / 240

GCD(6, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 902

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

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

GCD(2, 902) = 1804 / 902

GCD(2, 902) = 2

GCD of 408, 870, 80, 902 is 2

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1. What is the GCD of 408, 870, 80, 902?

GCD of 408, 870, 80, 902 is 2

2. Where do I get the detailed procedure to find GCD of 408, 870, 80, 902?

You can find a detailed procedure to find GCD of 408, 870, 80, 902 on our page.

3. How to find GCD of 408, 870, 80, 902 on a calculator?

You can find the GCD of 408, 870, 80, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.