GCD of 882, 952, 99, 478 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 882, 952, 99, 478 i.e. 1 largest integer that divides all the numbers equally.

GCD of 882, 952, 99, 478 is 1

GCD(882, 952, 99, 478) = 1

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

GCD of

GCD of numbers 882, 952, 99, 478 is 1

GCD(882, 952, 99, 478) = 1

GCD of 882,952,99,478 Calculator

GCDof 882,952,99,478 is 1

Given Input numbers are 882, 952, 99, 478

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 882, 952, 99, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 952, 99, 478 is 1.

Therefore, GCD of numbers 882, 952, 99, 478 is 1

Finding GCD of 882, 952, 99, 478 using Prime Factorization

Given Input Data is 882, 952, 99, 478

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 478 is 2 x 239

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

Finding GCD of 882, 952, 99, 478 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(882, 952) = 59976

GCD(882, 952) = ( 882 x 952 ) / 59976

GCD(882, 952) = 839664 / 59976

GCD(882, 952) = 14


Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 99

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

LCM(14, 99) = 1386

GCD(14, 99) = ( 14 x 99 ) / 1386

GCD(14, 99) = 1386 / 1386

GCD(14, 99) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 882, 952, 99, 478 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 882, 952, 99, 478

1. What is the GCD of 882, 952, 99, 478?

GCD of 882, 952, 99, 478 is 1


2. Where do I get the detailed procedure to find GCD of 882, 952, 99, 478?

You can find a detailed procedure to find GCD of 882, 952, 99, 478 on our page.


3. How to find GCD of 882, 952, 99, 478 on a calculator?

You can find the GCD of 882, 952, 99, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.