Greatest Common Factor of 54/57, 78/56, 45/10, 47/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/57, 78/56, 45/10, 47/168

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 54/57,78/56,45/10,47/168

Given fractions are 54/57,78/56,45/10,47/168

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 54,78,45,47

Greatest Common Factor of Numerators i.e. GCF of 54,78,45,47 is 1 .

LCM of Denominators means LCM of 57,56,10,168 as per the given fractions.

LCM of 57,56,10,168 is 15960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,78,45,47

GCF of Fractions 54/57,78/56,45/10,47/168 is 1/15960

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

Greatest Common Factor of 54,78,45,47 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,78,45,47 By Matching Biggest Common Factor Method

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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Greatest Common Factor

We found the factors 54,78,45,47 . The biggest common factor number is the GCF number.
So the greatest common factor 54,78,45,47 is 1.

Lets's calculate LCM of 57,56,10,168

2 57, 56, 10, 168
2 57, 28, 5, 84
2 57, 14, 5, 42
3 57, 7, 5, 21
7 19, 7, 5, 7
19, 1, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 19 x 1 x 5 x 1 = 15960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15960

Therefore, the GCF of Fractions 54/57,78/56,45/10,47/168 is 1/15960

Least Common Multiple of 57,56,10,168 with GCF Formula

Least Common Multiple of 57,56,10,168 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 57,56,10,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,56,10,168) = 1

common factors(in case of two or more numbers have common factors) = 336

GCF(57,56,10,168) x common factors =1 x 336 = 336

LCM(57,56,10,168) = ( 57 × 56 × 10 × 168 ) / 336

LCM(57,56,10,168) = 5362560 / 336

LCM(57,56,10,168) = 15960


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 54/57, 78/56, 45/10, 47/168

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 54/57, 78/56, 45/10, 47/168?

Answer: GCF of Numerators as per given numbers 54/57, 78/56, 45/10, 47/168 is

GCF of Numerators i.e. for 54,78,45,47 is 1

LCM of denominators i.e. for 57,56,10,168 is 15960.

Thus, GCF of Fractions is 1/15960.Finally, GCF of Fractions for 54/57, 78/56, 45/10, 47/168 is 1/15960.