Greatest Common Factor of 9854/243, 8978/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9854/243, 8978/698

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 9854/243,8978/698

Given fractions are 9854/243,8978/698

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 9854,8978

Greatest Common Factor of Numerators i.e. GCF of 9854,8978 is 2 .

LCM of Denominators means LCM of 243,698 as per the given fractions.

LCM of 243,698 is 169614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9854,8978

GCF of Fractions 9854/243,8978/698 is 2/169614

2 9854, 8978
4927, 4489

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

Greatest Common Factor of 9854,8978 By Matching Biggest Common Factor Method

Greatest Common Factor of 9854,8978 By Matching Biggest Common Factor Method

Factors of 9854

List of positive integer factors of 9854 that divides 9854 without a remainder.

1,2,13,26,379,758,4927,9854

Factors of 8978

List of positive integer factors of 8978 that divides 8978 without a remainder.

1,2,67,134,4489,8978

Greatest Common Factor

We found the factors 9854,8978 . The biggest common factor number is the GCF number.
So the greatest common factor 9854,8978 is 2.

Lets's calculate LCM of 243,698

Given numbers has no common factors except 1. So, there LCM is their product i.e 169614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/169614

Therefore, the GCF of Fractions 9854/243,8978/698 is 2/169614

Least Common Multiple of 243,698 with GCF Formula

Least Common Multiple of 243,698 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 243,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,698) = 1

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

GCF(243,698) x common factors =1 x 1 = 1

LCM(243,698) = ( 243 × 698 ) / 1

LCM(243,698) = 169614 / 1

LCM(243,698) = 169614


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 9854/243, 8978/698

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 9854/243, 8978/698?

Answer: GCF of Numerators as per given numbers 9854/243, 8978/698 is

GCF of Numerators i.e. for 9854,8978 is 2

LCM of denominators i.e. for 243,698 is 169614.

Thus, GCF of Fractions is 2/169614.Finally, GCF of Fractions for 9854/243, 8978/698 is 2/169614.