Greatest Common Factor of 878/99, 9829/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 878/99, 9829/814

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 878/99,9829/814

Given fractions are 878/99,9829/814

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 878,9829

Greatest Common Factor of Numerators i.e. GCF of 878,9829 is 1 .

LCM of Denominators means LCM of 99,814 as per the given fractions.

LCM of 99,814 is 7326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 878,9829

GCF of Fractions 878/99,9829/814 is 1/7326

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 878,9829 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,9829 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 9829

List of positive integer factors of 9829 that divides 9829 without a remainder.

1,9829

Greatest Common Factor

We found the factors 878,9829 . The biggest common factor number is the GCF number.
So the greatest common factor 878,9829 is 1.

Lets's calculate LCM of 99,814

11 99, 814
9, 74

∴ So the LCM of the given numbers is 11 x 9 x 74 = 7326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7326

Therefore, the GCF of Fractions 878/99,9829/814 is 1/7326

Least Common Multiple of 99,814 with GCF Formula

Least Common Multiple of 99,814 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 99,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,814) = 11

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

GCF(99,814) x common factors =11 x 1 = 11

LCM(99,814) = ( 99 × 814 ) / 11

LCM(99,814) = 80586 / 11

LCM(99,814) = 7326


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 878/99, 9829/814

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 878/99, 9829/814?

Answer: GCF of Numerators as per given numbers 878/99, 9829/814 is

GCF of Numerators i.e. for 878,9829 is 1

LCM of denominators i.e. for 99,814 is 7326.

Thus, GCF of Fractions is 1/7326.Finally, GCF of Fractions for 878/99, 9829/814 is 1/7326.