GCD of 316, 876, 320, 575 Calculator

Given Input numbers are 316, 876, 320, 575

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 316, 876, 320, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 876, 320, 575 is 1.

Therefore, GCD of numbers 316, 876, 320, 575 is 1

Given Input Data is 316, 876, 320, 575

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 876 is 2 x 2 x 3 x 73

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

Prime Factorization of 575 is 5 x 5 x 23

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(316, 876) = 69204

GCD(316, 876) = ( 316 x 876 ) / 69204

GCD(316, 876) = 276816 / 69204

GCD(316, 876) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 320

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

LCM(4, 320) = 320

GCD(4, 320) = ( 4 x 320 ) / 320

GCD(4, 320) = 1280 / 320

GCD(4, 320) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 575

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

LCM(4, 575) = 2300

GCD(4, 575) = ( 4 x 575 ) / 2300

GCD(4, 575) = 2300 / 2300

GCD(4, 575) = 1

GCD of 316, 876, 320, 575 is 1

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1. What is the GCD of 316, 876, 320, 575?

GCD of 316, 876, 320, 575 is 1

2. Where do I get the detailed procedure to find GCD of 316, 876, 320, 575?

You can find a detailed procedure to find GCD of 316, 876, 320, 575 on our page.

3. How to find GCD of 316, 876, 320, 575 on a calculator?

You can find the GCD of 316, 876, 320, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.