GCD of 560, 810, 32, 476 Calculator

Given Input numbers are 560, 810, 32, 476

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 560, 810, 32, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 810, 32, 476 is 2.

Therefore, GCD of numbers 560, 810, 32, 476 is 2

Given Input Data is 560, 810, 32, 476

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 476 is 2 x 2 x 7 x 17

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(560, 810) = 45360

GCD(560, 810) = ( 560 x 810 ) / 45360

GCD(560, 810) = 453600 / 45360

GCD(560, 810) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 32

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

LCM(10, 32) = 160

GCD(10, 32) = ( 10 x 32 ) / 160

GCD(10, 32) = 320 / 160

GCD(10, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 476

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

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

GCD(2, 476) = 952 / 476

GCD(2, 476) = 2

GCD of 560, 810, 32, 476 is 2

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• GCD of 442, 190, 39, 782
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• GCD of 894, 998, 50, 249

1. What is the GCD of 560, 810, 32, 476?

GCD of 560, 810, 32, 476 is 2

2. Where do I get the detailed procedure to find GCD of 560, 810, 32, 476?

You can find a detailed procedure to find GCD of 560, 810, 32, 476 on our page.

3. How to find GCD of 560, 810, 32, 476 on a calculator?

You can find the GCD of 560, 810, 32, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.