Greatest Common Factor of 14/71, 88/95, 296/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/71, 88/95, 296/309

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 14/71,88/95,296/309

Given fractions are 14/71,88/95,296/309

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 14,88,296

Greatest Common Factor of Numerators i.e. GCF of 14,88,296 is 2 .

LCM of Denominators means LCM of 71,95,309 as per the given fractions.

LCM of 71,95,309 is 2084205 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,88,296

GCF of Fractions 14/71,88/95,296/309 is 2/2084205

2 14, 88, 296
7, 44, 148

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

Greatest Common Factor of 14,88,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,88,296 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 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 14,88,296 . The biggest common factor number is the GCF number.
So the greatest common factor 14,88,296 is 2.

Lets's calculate LCM of 71,95,309

Given numbers has no common factors except 1. So, there LCM is their product i.e 2084205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2084205

Therefore, the GCF of Fractions 14/71,88/95,296/309 is 2/2084205

Least Common Multiple of 71,95,309 with GCF Formula

Least Common Multiple of 71,95,309 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 71,95,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,95,309) = 1

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

GCF(71,95,309) x common factors =1 x 1 = 1

LCM(71,95,309) = ( 71 × 95 × 309 ) / 1

LCM(71,95,309) = 2084205 / 1

LCM(71,95,309) = 2084205


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 14/71, 88/95, 296/309

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 14/71, 88/95, 296/309?

Answer: GCF of Numerators as per given numbers 14/71, 88/95, 296/309 is

GCF of Numerators i.e. for 14,88,296 is 2

LCM of denominators i.e. for 71,95,309 is 2084205.

Thus, GCF of Fractions is 2/2084205.Finally, GCF of Fractions for 14/71, 88/95, 296/309 is 2/2084205.