Greatest Common Factor of 9/95, 44/90, 35/245, 239/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/95, 44/90, 35/245, 239/484

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 9/95,44/90,35/245,239/484

Given fractions are 9/95,44/90,35/245,239/484

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 9,44,35,239

Greatest Common Factor of Numerators i.e. GCF of 9,44,35,239 is 1 .

LCM of Denominators means LCM of 95,90,245,484 as per the given fractions.

LCM of 95,90,245,484 is 20277180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,44,35,239

GCF of Fractions 9/95,44/90,35/245,239/484 is 1/20277180

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

Greatest Common Factor of 9,44,35,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,44,35,239 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 9,44,35,239 . The biggest common factor number is the GCF number.
So the greatest common factor 9,44,35,239 is 1.

Lets's calculate LCM of 95,90,245,484

2 95, 90, 245, 484
5 95, 45, 245, 242
19, 9, 49, 242

∴ So the LCM of the given numbers is 2 x 5 x 19 x 9 x 49 x 242 = 20277180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20277180

Therefore, the GCF of Fractions 9/95,44/90,35/245,239/484 is 1/20277180

Least Common Multiple of 95,90,245,484 with GCF Formula

Least Common Multiple of 95,90,245,484 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 95,90,245,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,90,245,484) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(95,90,245,484) x common factors =1 x 50 = 50

LCM(95,90,245,484) = ( 95 × 90 × 245 × 484 ) / 50

LCM(95,90,245,484) = 1013859000 / 50

LCM(95,90,245,484) = 20277180


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 9/95, 44/90, 35/245, 239/484

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 9/95, 44/90, 35/245, 239/484?

Answer: GCF of Numerators as per given numbers 9/95, 44/90, 35/245, 239/484 is

GCF of Numerators i.e. for 9,44,35,239 is 1

LCM of denominators i.e. for 95,90,245,484 is 20277180.

Thus, GCF of Fractions is 1/20277180.Finally, GCF of Fractions for 9/95, 44/90, 35/245, 239/484 is 1/20277180.