Greatest Common Factor of 4396/347, 3994/7114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4396/347, 3994/7114

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 4396/347,3994/7114

Given fractions are 4396/347,3994/7114

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 4396,3994

Greatest Common Factor of Numerators i.e. GCF of 4396,3994 is 2 .

LCM of Denominators means LCM of 347,7114 as per the given fractions.

LCM of 347,7114 is 2468558 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4396,3994

GCF of Fractions 4396/347,3994/7114 is 2/2468558

2 4396, 3994
2198, 1997

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

Greatest Common Factor of 4396,3994 By Matching Biggest Common Factor Method

Greatest Common Factor of 4396,3994 By Matching Biggest Common Factor Method

Factors of 4396

List of positive integer factors of 4396 that divides 4396 without a remainder.

1,2,4,7,14,28,157,314,628,1099,2198,4396

Factors of 3994

List of positive integer factors of 3994 that divides 3994 without a remainder.

1,2,1997,3994

Greatest Common Factor

We found the factors 4396,3994 . The biggest common factor number is the GCF number.
So the greatest common factor 4396,3994 is 2.

Lets's calculate LCM of 347,7114

Given numbers has no common factors except 1. So, there LCM is their product i.e 2468558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2468558

Therefore, the GCF of Fractions 4396/347,3994/7114 is 2/2468558

Least Common Multiple of 347,7114 with GCF Formula

Least Common Multiple of 347,7114 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 347,7114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,7114) = 1

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

GCF(347,7114) x common factors =1 x 1 = 1

LCM(347,7114) = ( 347 × 7114 ) / 1

LCM(347,7114) = 2468558 / 1

LCM(347,7114) = 2468558


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 4396/347, 3994/7114

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 4396/347, 3994/7114?

Answer: GCF of Numerators as per given numbers 4396/347, 3994/7114 is

GCF of Numerators i.e. for 4396,3994 is 2

LCM of denominators i.e. for 347,7114 is 2468558.

Thus, GCF of Fractions is 2/2468558.Finally, GCF of Fractions for 4396/347, 3994/7114 is 2/2468558.