Greatest Common Factor of 94/75, 27/19, 67/35, 299/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 94/75, 27/19, 67/35, 299/13

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 94/75,27/19,67/35,299/13

Given fractions are 94/75,27/19,67/35,299/13

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 94,27,67,299

Greatest Common Factor of Numerators i.e. GCF of 94,27,67,299 is 1 .

LCM of Denominators means LCM of 75,19,35,13 as per the given fractions.

LCM of 75,19,35,13 is 129675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 94,27,67,299

GCF of Fractions 94/75,27/19,67/35,299/13 is 1/129675

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

Greatest Common Factor of 94,27,67,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,27,67,299 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 94,27,67,299 . The biggest common factor number is the GCF number.
So the greatest common factor 94,27,67,299 is 1.

Lets's calculate LCM of 75,19,35,13

5 75, 19, 35, 13
15, 19, 7, 13

∴ So the LCM of the given numbers is 5 x 15 x 19 x 7 x 13 = 129675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129675

Therefore, the GCF of Fractions 94/75,27/19,67/35,299/13 is 1/129675

Least Common Multiple of 75,19,35,13 with GCF Formula

Least Common Multiple of 75,19,35,13 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 75,19,35,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,19,35,13) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(75,19,35,13) x common factors =1 x 5 = 5

LCM(75,19,35,13) = ( 75 × 19 × 35 × 13 ) / 5

LCM(75,19,35,13) = 648375 / 5

LCM(75,19,35,13) = 129675


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 94/75, 27/19, 67/35, 299/13

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 94/75, 27/19, 67/35, 299/13?

Answer: GCF of Numerators as per given numbers 94/75, 27/19, 67/35, 299/13 is

GCF of Numerators i.e. for 94,27,67,299 is 1

LCM of denominators i.e. for 75,19,35,13 is 129675.

Thus, GCF of Fractions is 1/129675.Finally, GCF of Fractions for 94/75, 27/19, 67/35, 299/13 is 1/129675.