GCD of 470, 175, 864, 823 Calculator

Given Input numbers are 470, 175, 864, 823

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 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 470, 175, 864, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 175, 864, 823 is 1.

Therefore, GCD of numbers 470, 175, 864, 823 is 1

Given Input Data is 470, 175, 864, 823

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 175 is 5 x 5 x 7

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 823 is 823

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(470, 175) = 16450

GCD(470, 175) = ( 470 x 175 ) / 16450

GCD(470, 175) = 82250 / 16450

GCD(470, 175) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 864

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

LCM(5, 864) = 4320

GCD(5, 864) = ( 5 x 864 ) / 4320

GCD(5, 864) = 4320 / 4320

GCD(5, 864) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 470, 175, 864, 823 is 1

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1. What is the GCD of 470, 175, 864, 823?

GCD of 470, 175, 864, 823 is 1

2. Where do I get the detailed procedure to find GCD of 470, 175, 864, 823?

You can find a detailed procedure to find GCD of 470, 175, 864, 823 on our page.

3. How to find GCD of 470, 175, 864, 823 on a calculator?

You can find the GCD of 470, 175, 864, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.