GCD of 170, 320, 766, 810 Calculator

Given Input numbers are 170, 320, 766, 810

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

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 170, 320, 766, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 320, 766, 810 is 2.

Therefore, GCD of numbers 170, 320, 766, 810 is 2

Given Input Data is 170, 320, 766, 810

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

Prime Factorization of 170 is 2 x 5 x 17

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

Prime Factorization of 766 is 2 x 383

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(170, 320) = 5440

GCD(170, 320) = ( 170 x 320 ) / 5440

GCD(170, 320) = 54400 / 5440

GCD(170, 320) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 766

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

LCM(10, 766) = 3830

GCD(10, 766) = ( 10 x 766 ) / 3830

GCD(10, 766) = 7660 / 3830

GCD(10, 766) = 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 170, 320, 766, 810 is 2

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• GCD of 505, 672, 477, 604
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• GCD of 320, 234, 756, 412

1. What is the GCD of 170, 320, 766, 810?

GCD of 170, 320, 766, 810 is 2

2. Where do I get the detailed procedure to find GCD of 170, 320, 766, 810?

You can find a detailed procedure to find GCD of 170, 320, 766, 810 on our page.

3. How to find GCD of 170, 320, 766, 810 on a calculator?

You can find the GCD of 170, 320, 766, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.