GCD of 470, 140, 16, 810 Calculator

Given Input numbers are 470, 140, 16, 810

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Greatest Common Divisior

We found the divisors of 470, 140, 16, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 140, 16, 810 is 2.

Therefore, GCD of numbers 470, 140, 16, 810 is 2

Given Input Data is 470, 140, 16, 810

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 810 is 2 x 3 x 3 x 3 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(470, 140) = 6580

GCD(470, 140) = ( 470 x 140 ) / 6580

GCD(470, 140) = 65800 / 6580

GCD(470, 140) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 16

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

LCM(10, 16) = 80

GCD(10, 16) = ( 10 x 16 ) / 80

GCD(10, 16) = 160 / 80

GCD(10, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 810

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

LCM(2, 810) = 810

GCD(2, 810) = ( 2 x 810 ) / 810

GCD(2, 810) = 1620 / 810

GCD(2, 810) = 2

GCD of 470, 140, 16, 810 is 2

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1. What is the GCD of 470, 140, 16, 810?

GCD of 470, 140, 16, 810 is 2

2. Where do I get the detailed procedure to find GCD of 470, 140, 16, 810?

You can find a detailed procedure to find GCD of 470, 140, 16, 810 on our page.

3. How to find GCD of 470, 140, 16, 810 on a calculator?

You can find the GCD of 470, 140, 16, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.