Greatest Common Factor of 8858/98, 2378/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8858/98, 2378/828

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 8858/98,2378/828

Given fractions are 8858/98,2378/828

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 8858,2378

Greatest Common Factor of Numerators i.e. GCF of 8858,2378 is 2 .

LCM of Denominators means LCM of 98,828 as per the given fractions.

LCM of 98,828 is 40572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8858,2378

GCF of Fractions 8858/98,2378/828 is 2/40572

2 8858, 2378
4429, 1189

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

Greatest Common Factor of 8858,2378 By Matching Biggest Common Factor Method

Greatest Common Factor of 8858,2378 By Matching Biggest Common Factor Method

Factors of 8858

List of positive integer factors of 8858 that divides 8858 without a remainder.

1,2,43,86,103,206,4429,8858

Factors of 2378

List of positive integer factors of 2378 that divides 2378 without a remainder.

1,2,29,41,58,82,1189,2378

Greatest Common Factor

We found the factors 8858,2378 . The biggest common factor number is the GCF number.
So the greatest common factor 8858,2378 is 2.

Lets's calculate LCM of 98,828

2 98, 828
49, 414

∴ So the LCM of the given numbers is 2 x 49 x 414 = 40572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40572

Therefore, the GCF of Fractions 8858/98,2378/828 is 2/40572

Least Common Multiple of 98,828 with GCF Formula

Least Common Multiple of 98,828 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 98,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,828) = 2

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

GCF(98,828) x common factors =2 x 1 = 2

LCM(98,828) = ( 98 × 828 ) / 2

LCM(98,828) = 81144 / 2

LCM(98,828) = 40572


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 8858/98, 2378/828

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 8858/98, 2378/828?

Answer: GCF of Numerators as per given numbers 8858/98, 2378/828 is

GCF of Numerators i.e. for 8858,2378 is 2

LCM of denominators i.e. for 98,828 is 40572.

Thus, GCF of Fractions is 2/40572.Finally, GCF of Fractions for 8858/98, 2378/828 is 2/40572.