GCD of 810, 860, 716, 923 Calculator

Given Input numbers are 810, 860, 716, 923

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

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 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 810, 860, 716, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 860, 716, 923 is 1.

Therefore, GCD of numbers 810, 860, 716, 923 is 1

Given Input Data is 810, 860, 716, 923

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

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

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 923 is 13 x 71

The above numbers do not have any common prime factor. So GCD is 1

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(810, 860) = 69660

GCD(810, 860) = ( 810 x 860 ) / 69660

GCD(810, 860) = 696600 / 69660

GCD(810, 860) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 716

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

LCM(10, 716) = 3580

GCD(10, 716) = ( 10 x 716 ) / 3580

GCD(10, 716) = 7160 / 3580

GCD(10, 716) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 923

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

LCM(2, 923) = 1846

GCD(2, 923) = ( 2 x 923 ) / 1846

GCD(2, 923) = 1846 / 1846

GCD(2, 923) = 1

GCD of 810, 860, 716, 923 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 810, 860, 716, 923?

GCD of 810, 860, 716, 923 is 1

2. Where do I get the detailed procedure to find GCD of 810, 860, 716, 923?

You can find a detailed procedure to find GCD of 810, 860, 716, 923 on our page.

3. How to find GCD of 810, 860, 716, 923 on a calculator?

You can find the GCD of 810, 860, 716, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.