Greatest Common Factor of 48/37, 34/14, 241/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/37, 34/14, 241/851

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 48/37,34/14,241/851

Given fractions are 48/37,34/14,241/851

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 48,34,241

Greatest Common Factor of Numerators i.e. GCF of 48,34,241 is 1 .

LCM of Denominators means LCM of 37,14,851 as per the given fractions.

LCM of 37,14,851 is 11914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,34,241

GCF of Fractions 48/37,34/14,241/851 is 1/11914

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

Greatest Common Factor of 48,34,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,34,241 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 34

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

1,2,17,34

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 48,34,241 . The biggest common factor number is the GCF number.
So the greatest common factor 48,34,241 is 1.

Lets's calculate LCM of 37,14,851

37 37, 14, 851
1, 14, 23

∴ So the LCM of the given numbers is 37 x 1 x 14 x 23 = 11914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11914

Therefore, the GCF of Fractions 48/37,34/14,241/851 is 1/11914

Least Common Multiple of 37,14,851 with GCF Formula

Least Common Multiple of 37,14,851 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 37,14,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,14,851) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(37,14,851) x common factors =1 x 37 = 37

LCM(37,14,851) = ( 37 × 14 × 851 ) / 37

LCM(37,14,851) = 440818 / 37

LCM(37,14,851) = 11914


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 48/37, 34/14, 241/851

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 48/37, 34/14, 241/851?

Answer: GCF of Numerators as per given numbers 48/37, 34/14, 241/851 is

GCF of Numerators i.e. for 48,34,241 is 1

LCM of denominators i.e. for 37,14,851 is 11914.

Thus, GCF of Fractions is 1/11914.Finally, GCF of Fractions for 48/37, 34/14, 241/851 is 1/11914.