GCD of 110, 952, 48, 867 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 110, 952, 48, 867 i.e. 1 largest integer that divides all the numbers equally.

GCD of 110, 952, 48, 867 is 1

GCD(110, 952, 48, 867) = 1

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

GCD of

GCD of numbers 110, 952, 48, 867 is 1

GCD(110, 952, 48, 867) = 1

GCD of 110,952,48,867 Calculator

GCDof 110,952,48,867 is 1

Given Input numbers are 110, 952, 48, 867

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 110, 952, 48, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 952, 48, 867 is 1.

Therefore, GCD of numbers 110, 952, 48, 867 is 1

Finding GCD of 110, 952, 48, 867 using Prime Factorization

Given Input Data is 110, 952, 48, 867

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

Prime Factorization of 110 is 2 x 5 x 11

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 867 is 3 x 17 x 17

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

Finding GCD of 110, 952, 48, 867 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(110, 952) = 52360

GCD(110, 952) = ( 110 x 952 ) / 52360

GCD(110, 952) = 104720 / 52360

GCD(110, 952) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 867

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

LCM(2, 867) = 1734

GCD(2, 867) = ( 2 x 867 ) / 1734

GCD(2, 867) = 1734 / 1734

GCD(2, 867) = 1

GCD of 110, 952, 48, 867 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 110, 952, 48, 867

1. What is the GCD of 110, 952, 48, 867?

GCD of 110, 952, 48, 867 is 1


2. Where do I get the detailed procedure to find GCD of 110, 952, 48, 867?

You can find a detailed procedure to find GCD of 110, 952, 48, 867 on our page.


3. How to find GCD of 110, 952, 48, 867 on a calculator?

You can find the GCD of 110, 952, 48, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.