GCD of 806, 870, 320, 132 Calculator

Given Input numbers are 806, 870, 320, 132

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 806, 870, 320, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 870, 320, 132 is 2.

Therefore, GCD of numbers 806, 870, 320, 132 is 2

Given Input Data is 806, 870, 320, 132

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

Prime Factorization of 806 is 2 x 13 x 31

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(806, 870) = 350610

GCD(806, 870) = ( 806 x 870 ) / 350610

GCD(806, 870) = 701220 / 350610

GCD(806, 870) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

GCD of 806, 870, 320, 132 is 2

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1. What is the GCD of 806, 870, 320, 132?

GCD of 806, 870, 320, 132 is 2

2. Where do I get the detailed procedure to find GCD of 806, 870, 320, 132?

You can find a detailed procedure to find GCD of 806, 870, 320, 132 on our page.

3. How to find GCD of 806, 870, 320, 132 on a calculator?

You can find the GCD of 806, 870, 320, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.