Greatest Common Factor of 47/75, 30/55, 94/35, 95/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/75, 30/55, 94/35, 95/307

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 47/75,30/55,94/35,95/307

Given fractions are 47/75,30/55,94/35,95/307

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 47,30,94,95

Greatest Common Factor of Numerators i.e. GCF of 47,30,94,95 is 1 .

LCM of Denominators means LCM of 75,55,35,307 as per the given fractions.

LCM of 75,55,35,307 is 1772925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,30,94,95

GCF of Fractions 47/75,30/55,94/35,95/307 is 1/1772925

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

Greatest Common Factor of 47,30,94,95 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,30,94,95 By Matching Biggest Common Factor Method

Factors of 47

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

1,47

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 94

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

1,2,47,94

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Greatest Common Factor

We found the factors 47,30,94,95 . The biggest common factor number is the GCF number.
So the greatest common factor 47,30,94,95 is 1.

Lets's calculate LCM of 75,55,35,307

5 75, 55, 35, 307
15, 11, 7, 307

∴ So the LCM of the given numbers is 5 x 15 x 11 x 7 x 307 = 1772925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1772925

Therefore, the GCF of Fractions 47/75,30/55,94/35,95/307 is 1/1772925

Least Common Multiple of 75,55,35,307 with GCF Formula

Least Common Multiple of 75,55,35,307 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 75,55,35,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,55,35,307) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(75,55,35,307) x common factors =1 x 25 = 25

LCM(75,55,35,307) = ( 75 × 55 × 35 × 307 ) / 25

LCM(75,55,35,307) = 44323125 / 25

LCM(75,55,35,307) = 1772925


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 47/75, 30/55, 94/35, 95/307

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 47/75, 30/55, 94/35, 95/307?

Answer: GCF of Numerators as per given numbers 47/75, 30/55, 94/35, 95/307 is

GCF of Numerators i.e. for 47,30,94,95 is 1

LCM of denominators i.e. for 75,55,35,307 is 1772925.

Thus, GCF of Fractions is 1/1772925.Finally, GCF of Fractions for 47/75, 30/55, 94/35, 95/307 is 1/1772925.