Greatest Common Factor of 14/44, 95/443, 979/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/44, 95/443, 979/413

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 14/44,95/443,979/413

Given fractions are 14/44,95/443,979/413

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 14,95,979

Greatest Common Factor of Numerators i.e. GCF of 14,95,979 is 1 .

LCM of Denominators means LCM of 44,443,413 as per the given fractions.

LCM of 44,443,413 is 8050196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,95,979

GCF of Fractions 14/44,95/443,979/413 is 1/8050196

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

Greatest Common Factor of 14,95,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,95,979 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 14,95,979 . The biggest common factor number is the GCF number.
So the greatest common factor 14,95,979 is 1.

Lets's calculate LCM of 44,443,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 8050196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8050196

Therefore, the GCF of Fractions 14/44,95/443,979/413 is 1/8050196

Least Common Multiple of 44,443,413 with GCF Formula

Least Common Multiple of 44,443,413 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 44,443,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,443,413) = 1

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

GCF(44,443,413) x common factors =1 x 1 = 1

LCM(44,443,413) = ( 44 × 443 × 413 ) / 1

LCM(44,443,413) = 8050196 / 1

LCM(44,443,413) = 8050196


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 14/44, 95/443, 979/413

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 14/44, 95/443, 979/413?

Answer: GCF of Numerators as per given numbers 14/44, 95/443, 979/413 is

GCF of Numerators i.e. for 14,95,979 is 1

LCM of denominators i.e. for 44,443,413 is 8050196.

Thus, GCF of Fractions is 1/8050196.Finally, GCF of Fractions for 14/44, 95/443, 979/413 is 1/8050196.