Greatest Common Factor of 4191/38, 7023/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4191/38, 7023/314

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 4191/38,7023/314

Given fractions are 4191/38,7023/314

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 4191,7023

Greatest Common Factor of Numerators i.e. GCF of 4191,7023 is 3 .

LCM of Denominators means LCM of 38,314 as per the given fractions.

LCM of 38,314 is 5966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4191,7023

GCF of Fractions 4191/38,7023/314 is 3/5966

3 4191, 7023
1397, 2341

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4191,7023 By Matching Biggest Common Factor Method

Greatest Common Factor of 4191,7023 By Matching Biggest Common Factor Method

Factors of 4191

List of positive integer factors of 4191 that divides 4191 without a remainder.

1,3,11,33,127,381,1397,4191

Factors of 7023

List of positive integer factors of 7023 that divides 7023 without a remainder.

1,3,2341,7023

Greatest Common Factor

We found the factors 4191,7023 . The biggest common factor number is the GCF number.
So the greatest common factor 4191,7023 is 3.

Lets's calculate LCM of 38,314

2 38, 314
19, 157

∴ So the LCM of the given numbers is 2 x 19 x 157 = 5966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5966

Therefore, the GCF of Fractions 4191/38,7023/314 is 3/5966

Least Common Multiple of 38,314 with GCF Formula

Least Common Multiple of 38,314 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 38,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,314) = 2

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

GCF(38,314) x common factors =2 x 1 = 2

LCM(38,314) = ( 38 × 314 ) / 2

LCM(38,314) = 11932 / 2

LCM(38,314) = 5966


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 4191/38, 7023/314

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 4191/38, 7023/314?

Answer: GCF of Numerators as per given numbers 4191/38, 7023/314 is

GCF of Numerators i.e. for 4191,7023 is 3

LCM of denominators i.e. for 38,314 is 5966.

Thus, GCF of Fractions is 3/5966.Finally, GCF of Fractions for 4191/38, 7023/314 is 3/5966.