Greatest Common Factor of 7/45, 61/96, 34/239, 191/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/45, 61/96, 34/239, 191/306

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 7/45,61/96,34/239,191/306

Given fractions are 7/45,61/96,34/239,191/306

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 7,61,34,191

Greatest Common Factor of Numerators i.e. GCF of 7,61,34,191 is 1 .

LCM of Denominators means LCM of 45,96,239,306 as per the given fractions.

LCM of 45,96,239,306 is 5850720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,61,34,191

GCF of Fractions 7/45,61/96,34/239,191/306 is 1/5850720

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

Greatest Common Factor of 7,61,34,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,61,34,191 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 7,61,34,191 . The biggest common factor number is the GCF number.
So the greatest common factor 7,61,34,191 is 1.

Lets's calculate LCM of 45,96,239,306

2 45, 96, 239, 306
3 45, 48, 239, 153
3 15, 16, 239, 51
5, 16, 239, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 16 x 239 x 17 = 5850720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5850720

Therefore, the GCF of Fractions 7/45,61/96,34/239,191/306 is 1/5850720

Least Common Multiple of 45,96,239,306 with GCF Formula

Least Common Multiple of 45,96,239,306 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 45,96,239,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,96,239,306) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(45,96,239,306) x common factors =1 x 54 = 54

LCM(45,96,239,306) = ( 45 × 96 × 239 × 306 ) / 54

LCM(45,96,239,306) = 315938880 / 54

LCM(45,96,239,306) = 5850720


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 7/45, 61/96, 34/239, 191/306

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 7/45, 61/96, 34/239, 191/306?

Answer: GCF of Numerators as per given numbers 7/45, 61/96, 34/239, 191/306 is

GCF of Numerators i.e. for 7,61,34,191 is 1

LCM of denominators i.e. for 45,96,239,306 is 5850720.

Thus, GCF of Fractions is 1/5850720.Finally, GCF of Fractions for 7/45, 61/96, 34/239, 191/306 is 1/5850720.