Greatest Common Factor of 8948/214, 2799/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8948/214, 2799/294

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 8948/214,2799/294

Given fractions are 8948/214,2799/294

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 8948,2799

Greatest Common Factor of Numerators i.e. GCF of 8948,2799 is 1 .

LCM of Denominators means LCM of 214,294 as per the given fractions.

LCM of 214,294 is 31458 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8948,2799

GCF of Fractions 8948/214,2799/294 is 1/31458

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

Greatest Common Factor of 8948,2799 By Matching Biggest Common Factor Method

Greatest Common Factor of 8948,2799 By Matching Biggest Common Factor Method

Factors of 8948

List of positive integer factors of 8948 that divides 8948 without a remainder.

1,2,4,2237,4474,8948

Factors of 2799

List of positive integer factors of 2799 that divides 2799 without a remainder.

1,3,9,311,933,2799

Greatest Common Factor

We found the factors 8948,2799 . The biggest common factor number is the GCF number.
So the greatest common factor 8948,2799 is 1.

Lets's calculate LCM of 214,294

2 214, 294
107, 147

∴ So the LCM of the given numbers is 2 x 107 x 147 = 31458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31458

Therefore, the GCF of Fractions 8948/214,2799/294 is 1/31458

Least Common Multiple of 214,294 with GCF Formula

Least Common Multiple of 214,294 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 214,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,294) = 2

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

GCF(214,294) x common factors =2 x 1 = 2

LCM(214,294) = ( 214 × 294 ) / 2

LCM(214,294) = 62916 / 2

LCM(214,294) = 31458


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 8948/214, 2799/294

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 8948/214, 2799/294?

Answer: GCF of Numerators as per given numbers 8948/214, 2799/294 is

GCF of Numerators i.e. for 8948,2799 is 1

LCM of denominators i.e. for 214,294 is 31458.

Thus, GCF of Fractions is 1/31458.Finally, GCF of Fractions for 8948/214, 2799/294 is 1/31458.