Greatest Common Factor of 247/15, 850/36, 144/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 247/15, 850/36, 144/44

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 247/15,850/36,144/44

Given fractions are 247/15,850/36,144/44

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 247,850,144

Greatest Common Factor of Numerators i.e. GCF of 247,850,144 is 1 .

LCM of Denominators means LCM of 15,36,44 as per the given fractions.

LCM of 15,36,44 is 1980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 247,850,144

GCF of Fractions 247/15,850/36,144/44 is 1/1980

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

Greatest Common Factor of 247,850,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,850,144 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 247,850,144 . The biggest common factor number is the GCF number.
So the greatest common factor 247,850,144 is 1.

Lets's calculate LCM of 15,36,44

2 15, 36, 44
2 15, 18, 22
3 15, 9, 11
5, 3, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 11 = 1980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1980

Therefore, the GCF of Fractions 247/15,850/36,144/44 is 1/1980

Least Common Multiple of 15,36,44 with GCF Formula

Least Common Multiple of 15,36,44 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 15,36,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,36,44) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(15,36,44) x common factors =1 x 12 = 12

LCM(15,36,44) = ( 15 × 36 × 44 ) / 12

LCM(15,36,44) = 23760 / 12

LCM(15,36,44) = 1980


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 247/15, 850/36, 144/44

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 247/15, 850/36, 144/44?

Answer: GCF of Numerators as per given numbers 247/15, 850/36, 144/44 is

GCF of Numerators i.e. for 247,850,144 is 1

LCM of denominators i.e. for 15,36,44 is 1980.

Thus, GCF of Fractions is 1/1980.Finally, GCF of Fractions for 247/15, 850/36, 144/44 is 1/1980.