GCD of 824, 160, 192, 875 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 824, 160, 192, 875 i.e. 1 largest integer that divides all the numbers equally.

GCD of 824, 160, 192, 875 is 1

GCD(824, 160, 192, 875) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 824, 160, 192, 875 is 1

GCD(824, 160, 192, 875) = 1

GCD of 824,160,192,875 Calculator

GCDof 824,160,192,875 is 1

Given Input numbers are 824, 160, 192, 875

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 824, 160, 192, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 160, 192, 875 is 1.

Therefore, GCD of numbers 824, 160, 192, 875 is 1

Finding GCD of 824, 160, 192, 875 using Prime Factorization

Given Input Data is 824, 160, 192, 875

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 875 is 5 x 5 x 5 x 7

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

Finding GCD of 824, 160, 192, 875 using LCM Formula

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(824, 160) = 16480

GCD(824, 160) = ( 824 x 160 ) / 16480

GCD(824, 160) = 131840 / 16480

GCD(824, 160) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 192

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

LCM(8, 192) = 192

GCD(8, 192) = ( 8 x 192 ) / 192

GCD(8, 192) = 1536 / 192

GCD(8, 192) = 8


Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 875

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

LCM(8, 875) = 7000

GCD(8, 875) = ( 8 x 875 ) / 7000

GCD(8, 875) = 7000 / 7000

GCD(8, 875) = 1

GCD of 824, 160, 192, 875 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 824, 160, 192, 875

1. What is the GCD of 824, 160, 192, 875?

GCD of 824, 160, 192, 875 is 1


2. Where do I get the detailed procedure to find GCD of 824, 160, 192, 875?

You can find a detailed procedure to find GCD of 824, 160, 192, 875 on our page.


3. How to find GCD of 824, 160, 192, 875 on a calculator?

You can find the GCD of 824, 160, 192, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.