Greatest Common Factor of 48/60, 86/10, 78/33, 78/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/60, 86/10, 78/33, 78/40

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 48/60,86/10,78/33,78/40

Given fractions are 48/60,86/10,78/33,78/40

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 48,86,78,78

Greatest Common Factor of Numerators i.e. GCF of 48,86,78,78 is 2 .

LCM of Denominators means LCM of 60,10,33,40 as per the given fractions.

LCM of 60,10,33,40 is 1320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,86,78,78

GCF of Fractions 48/60,86/10,78/33,78/40 is 2/1320

2 48, 86, 78, 78
24, 43, 39, 39

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 48,86,78,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,86,78,78 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

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 78

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

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

Greatest Common Factor

We found the factors 48,86,78,78 . The biggest common factor number is the GCF number.
So the greatest common factor 48,86,78,78 is 2.

Lets's calculate LCM of 60,10,33,40

2 60, 10, 33, 40
2 30, 5, 33, 20
3 15, 5, 33, 10
5 5, 5, 11, 10
1, 1, 11, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 11 x 2 = 1320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1320

Therefore, the GCF of Fractions 48/60,86/10,78/33,78/40 is 2/1320

Least Common Multiple of 60,10,33,40 with GCF Formula

Least Common Multiple of 60,10,33,40 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 60,10,33,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,10,33,40) = 1

common factors(in case of two or more numbers have common factors) = 600

GCF(60,10,33,40) x common factors =1 x 600 = 600

LCM(60,10,33,40) = ( 60 × 10 × 33 × 40 ) / 600

LCM(60,10,33,40) = 792000 / 600

LCM(60,10,33,40) = 1320


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 48/60, 86/10, 78/33, 78/40

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 48/60, 86/10, 78/33, 78/40?

Answer: GCF of Numerators as per given numbers 48/60, 86/10, 78/33, 78/40 is

GCF of Numerators i.e. for 48,86,78,78 is 2

LCM of denominators i.e. for 60,10,33,40 is 1320.

Thus, GCF of Fractions is 2/1320.Finally, GCF of Fractions for 48/60, 86/10, 78/33, 78/40 is 2/1320.