Greatest Common Factor of 99/33, 31/68, 54/78, 838/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/33, 31/68, 54/78, 838/54

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 99/33,31/68,54/78,838/54

Given fractions are 99/33,31/68,54/78,838/54

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 99,31,54,838

Greatest Common Factor of Numerators i.e. GCF of 99,31,54,838 is 1 .

LCM of Denominators means LCM of 33,68,78,54 as per the given fractions.

LCM of 33,68,78,54 is 262548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,31,54,838

GCF of Fractions 99/33,31/68,54/78,838/54 is 1/262548

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

Greatest Common Factor of 99,31,54,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,31,54,838 By Matching Biggest Common Factor Method

Factors of 99

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

1,3,9,11,33,99

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 99,31,54,838 . The biggest common factor number is the GCF number.
So the greatest common factor 99,31,54,838 is 1.

Lets's calculate LCM of 33,68,78,54

2 33, 68, 78, 54
3 33, 34, 39, 27
11, 34, 13, 9

∴ So the LCM of the given numbers is 2 x 3 x 11 x 34 x 13 x 9 = 262548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262548

Therefore, the GCF of Fractions 99/33,31/68,54/78,838/54 is 1/262548

Least Common Multiple of 33,68,78,54 with GCF Formula

Least Common Multiple of 33,68,78,54 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 33,68,78,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,68,78,54) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(33,68,78,54) x common factors =1 x 36 = 36

LCM(33,68,78,54) = ( 33 × 68 × 78 × 54 ) / 36

LCM(33,68,78,54) = 9451728 / 36

LCM(33,68,78,54) = 262548


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 99/33, 31/68, 54/78, 838/54

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 99/33, 31/68, 54/78, 838/54?

Answer: GCF of Numerators as per given numbers 99/33, 31/68, 54/78, 838/54 is

GCF of Numerators i.e. for 99,31,54,838 is 1

LCM of denominators i.e. for 33,68,78,54 is 262548.

Thus, GCF of Fractions is 1/262548.Finally, GCF of Fractions for 99/33, 31/68, 54/78, 838/54 is 1/262548.