Greatest Common Factor of 4736/38, 4174/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4736/38, 4174/297

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 4736/38,4174/297

Given fractions are 4736/38,4174/297

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 4736,4174

Greatest Common Factor of Numerators i.e. GCF of 4736,4174 is 2 .

LCM of Denominators means LCM of 38,297 as per the given fractions.

LCM of 38,297 is 11286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4736,4174

GCF of Fractions 4736/38,4174/297 is 2/11286

2 4736, 4174
2368, 2087

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4736,4174 By Matching Biggest Common Factor Method

Greatest Common Factor of 4736,4174 By Matching Biggest Common Factor Method

Factors of 4736

List of positive integer factors of 4736 that divides 4736 without a remainder.

1,2,4,8,16,32,37,64,74,128,148,296,592,1184,2368,4736

Factors of 4174

List of positive integer factors of 4174 that divides 4174 without a remainder.

1,2,2087,4174

Greatest Common Factor

We found the factors 4736,4174 . The biggest common factor number is the GCF number.
So the greatest common factor 4736,4174 is 2.

Lets's calculate LCM of 38,297

Given numbers has no common factors except 1. So, there LCM is their product i.e 11286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11286

Therefore, the GCF of Fractions 4736/38,4174/297 is 2/11286

Least Common Multiple of 38,297 with GCF Formula

Least Common Multiple of 38,297 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 38,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,297) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(38,297) x common factors =1 x 1 = 1

LCM(38,297) = ( 38 × 297 ) / 1

LCM(38,297) = 11286 / 1

LCM(38,297) = 11286


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 4736/38, 4174/297

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 4736/38, 4174/297?

Answer: GCF of Numerators as per given numbers 4736/38, 4174/297 is

GCF of Numerators i.e. for 4736,4174 is 2

LCM of denominators i.e. for 38,297 is 11286.

Thus, GCF of Fractions is 2/11286.Finally, GCF of Fractions for 4736/38, 4174/297 is 2/11286.