Greatest Common Factor of 39/43, 30/91, 99/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/43, 30/91, 99/711

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 39/43,30/91,99/711

Given fractions are 39/43,30/91,99/711

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 39,30,99

Greatest Common Factor of Numerators i.e. GCF of 39,30,99 is 3 .

LCM of Denominators means LCM of 43,91,711 as per the given fractions.

LCM of 43,91,711 is 2782143 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,30,99

GCF of Fractions 39/43,30/91,99/711 is 3/2782143

3 39, 30, 99
13, 10, 33

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 39,30,99 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,30,99 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Greatest Common Factor

We found the factors 39,30,99 . The biggest common factor number is the GCF number.
So the greatest common factor 39,30,99 is 3.

Lets's calculate LCM of 43,91,711

Given numbers has no common factors except 1. So, there LCM is their product i.e 2782143

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2782143

Therefore, the GCF of Fractions 39/43,30/91,99/711 is 3/2782143

Least Common Multiple of 43,91,711 with GCF Formula

Least Common Multiple of 43,91,711 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 43,91,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,91,711) = 1

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

GCF(43,91,711) x common factors =1 x 1 = 1

LCM(43,91,711) = ( 43 × 91 × 711 ) / 1

LCM(43,91,711) = 2782143 / 1

LCM(43,91,711) = 2782143


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 39/43, 30/91, 99/711

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 39/43, 30/91, 99/711?

Answer: GCF of Numerators as per given numbers 39/43, 30/91, 99/711 is

GCF of Numerators i.e. for 39,30,99 is 3

LCM of denominators i.e. for 43,91,711 is 2782143.

Thus, GCF of Fractions is 3/2782143.Finally, GCF of Fractions for 39/43, 30/91, 99/711 is 3/2782143.