Greatest Common Factor of 882/205, 9998/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 882/205, 9998/115

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 882/205,9998/115

Given fractions are 882/205,9998/115

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 882,9998

Greatest Common Factor of Numerators i.e. GCF of 882,9998 is 2 .

LCM of Denominators means LCM of 205,115 as per the given fractions.

LCM of 205,115 is 4715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 882,9998

GCF of Fractions 882/205,9998/115 is 2/4715

2 882, 9998
441, 4999

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 882,9998 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,9998 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors 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

Factors of 9998

List of positive integer factors of 9998 that divides 9998 without a remainder.

1,2,4999,9998

Greatest Common Factor

We found the factors 882,9998 . The biggest common factor number is the GCF number.
So the greatest common factor 882,9998 is 2.

Lets's calculate LCM of 205,115

5 205, 115
41, 23

∴ So the LCM of the given numbers is 5 x 41 x 23 = 4715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4715

Therefore, the GCF of Fractions 882/205,9998/115 is 2/4715

Least Common Multiple of 205,115 with GCF Formula

Least Common Multiple of 205,115 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 205,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,115) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(205,115) x common factors =5 x 1 = 5

LCM(205,115) = ( 205 × 115 ) / 5

LCM(205,115) = 23575 / 5

LCM(205,115) = 4715


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 882/205, 9998/115

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 882/205, 9998/115?

Answer: GCF of Numerators as per given numbers 882/205, 9998/115 is

GCF of Numerators i.e. for 882,9998 is 2

LCM of denominators i.e. for 205,115 is 4715.

Thus, GCF of Fractions is 2/4715.Finally, GCF of Fractions for 882/205, 9998/115 is 2/4715.