Greatest Common Factor of 561/54, 878/39, 892/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 561/54, 878/39, 892/112

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 561/54,878/39,892/112

Given fractions are 561/54,878/39,892/112

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 561,878,892

Greatest Common Factor of Numerators i.e. GCF of 561,878,892 is 1 .

LCM of Denominators means LCM of 54,39,112 as per the given fractions.

LCM of 54,39,112 is 39312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 561,878,892

GCF of Fractions 561/54,878/39,892/112 is 1/39312

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

Greatest Common Factor of 561,878,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,878,892 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 878

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

1,2,439,878

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 561,878,892 . The biggest common factor number is the GCF number.
So the greatest common factor 561,878,892 is 1.

Lets's calculate LCM of 54,39,112

2 54, 39, 112
3 27, 39, 56
9, 13, 56

∴ So the LCM of the given numbers is 2 x 3 x 9 x 13 x 56 = 39312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39312

Therefore, the GCF of Fractions 561/54,878/39,892/112 is 1/39312

Least Common Multiple of 54,39,112 with GCF Formula

Least Common Multiple of 54,39,112 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 54,39,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,39,112) = 1

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

GCF(54,39,112) x common factors =1 x 6 = 6

LCM(54,39,112) = ( 54 × 39 × 112 ) / 6

LCM(54,39,112) = 235872 / 6

LCM(54,39,112) = 39312


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 561/54, 878/39, 892/112

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 561/54, 878/39, 892/112?

Answer: GCF of Numerators as per given numbers 561/54, 878/39, 892/112 is

GCF of Numerators i.e. for 561,878,892 is 1

LCM of denominators i.e. for 54,39,112 is 39312.

Thus, GCF of Fractions is 1/39312.Finally, GCF of Fractions for 561/54, 878/39, 892/112 is 1/39312.