Greatest Common Factor of 94/13, 205/12, 878/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 94/13, 205/12, 878/382

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 94/13,205/12,878/382

Given fractions are 94/13,205/12,878/382

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 94,205,878

Greatest Common Factor of Numerators i.e. GCF of 94,205,878 is 1 .

LCM of Denominators means LCM of 13,12,382 as per the given fractions.

LCM of 13,12,382 is 29796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 94,205,878

GCF of Fractions 94/13,205/12,878/382 is 1/29796

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

Greatest Common Factor of 94,205,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,205,878 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 94,205,878 . The biggest common factor number is the GCF number.
So the greatest common factor 94,205,878 is 1.

Lets's calculate LCM of 13,12,382

2 13, 12, 382
13, 6, 191

∴ So the LCM of the given numbers is 2 x 13 x 6 x 191 = 29796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29796

Therefore, the GCF of Fractions 94/13,205/12,878/382 is 1/29796

Least Common Multiple of 13,12,382 with GCF Formula

Least Common Multiple of 13,12,382 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 13,12,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,12,382) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,12,382) x common factors =1 x 2 = 2

LCM(13,12,382) = ( 13 × 12 × 382 ) / 2

LCM(13,12,382) = 59592 / 2

LCM(13,12,382) = 29796


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 94/13, 205/12, 878/382

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 94/13, 205/12, 878/382?

Answer: GCF of Numerators as per given numbers 94/13, 205/12, 878/382 is

GCF of Numerators i.e. for 94,205,878 is 1

LCM of denominators i.e. for 13,12,382 is 29796.

Thus, GCF of Fractions is 1/29796.Finally, GCF of Fractions for 94/13, 205/12, 878/382 is 1/29796.