Greatest Common Factor of 15/42, 75/51, 78/52, 45/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/42, 75/51, 78/52, 45/114

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 15/42,75/51,78/52,45/114

Given fractions are 15/42,75/51,78/52,45/114

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 15,75,78,45

Greatest Common Factor of Numerators i.e. GCF of 15,75,78,45 is 3 .

LCM of Denominators means LCM of 42,51,52,114 as per the given fractions.

LCM of 42,51,52,114 is 352716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,75,78,45

GCF of Fractions 15/42,75/51,78/52,45/114 is 3/352716

3 15, 75, 78, 45
5, 25, 26, 15

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 15,75,78,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,75,78,45 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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

Greatest Common Factor

We found the factors 15,75,78,45 . The biggest common factor number is the GCF number.
So the greatest common factor 15,75,78,45 is 3.

Lets's calculate LCM of 42,51,52,114

2 42, 51, 52, 114
3 21, 51, 26, 57
7, 17, 26, 19

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 26 x 19 = 352716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/352716

Therefore, the GCF of Fractions 15/42,75/51,78/52,45/114 is 3/352716

Least Common Multiple of 42,51,52,114 with GCF Formula

Least Common Multiple of 42,51,52,114 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 42,51,52,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,51,52,114) = 1

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

GCF(42,51,52,114) x common factors =1 x 36 = 36

LCM(42,51,52,114) = ( 42 × 51 × 52 × 114 ) / 36

LCM(42,51,52,114) = 12697776 / 36

LCM(42,51,52,114) = 352716


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 15/42, 75/51, 78/52, 45/114

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 15/42, 75/51, 78/52, 45/114?

Answer: GCF of Numerators as per given numbers 15/42, 75/51, 78/52, 45/114 is

GCF of Numerators i.e. for 15,75,78,45 is 3

LCM of denominators i.e. for 42,51,52,114 is 352716.

Thus, GCF of Fractions is 3/352716.Finally, GCF of Fractions for 15/42, 75/51, 78/52, 45/114 is 3/352716.