Greatest Common Factor of 391/42, 355/71, 729/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 391/42, 355/71, 729/78

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 391/42,355/71,729/78

Given fractions are 391/42,355/71,729/78

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 391,355,729

Greatest Common Factor of Numerators i.e. GCF of 391,355,729 is 1 .

LCM of Denominators means LCM of 42,71,78 as per the given fractions.

LCM of 42,71,78 is 38766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 391,355,729

GCF of Fractions 391/42,355/71,729/78 is 1/38766

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

Greatest Common Factor of 391,355,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,355,729 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 391,355,729 . The biggest common factor number is the GCF number.
So the greatest common factor 391,355,729 is 1.

Lets's calculate LCM of 42,71,78

2 42, 71, 78
3 21, 71, 39
7, 71, 13

∴ So the LCM of the given numbers is 2 x 3 x 7 x 71 x 13 = 38766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38766

Therefore, the GCF of Fractions 391/42,355/71,729/78 is 1/38766

Least Common Multiple of 42,71,78 with GCF Formula

Least Common Multiple of 42,71,78 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 42,71,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,71,78) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,71,78) x common factors =1 x 6 = 6

LCM(42,71,78) = ( 42 × 71 × 78 ) / 6

LCM(42,71,78) = 232596 / 6

LCM(42,71,78) = 38766


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 391/42, 355/71, 729/78

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 391/42, 355/71, 729/78?

Answer: GCF of Numerators as per given numbers 391/42, 355/71, 729/78 is

GCF of Numerators i.e. for 391,355,729 is 1

LCM of denominators i.e. for 42,71,78 is 38766.

Thus, GCF of Fractions is 1/38766.Finally, GCF of Fractions for 391/42, 355/71, 729/78 is 1/38766.