Greatest Common Factor of 4966/347, 4082/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4966/347, 4082/289

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 4966/347,4082/289

Given fractions are 4966/347,4082/289

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 4966,4082

Greatest Common Factor of Numerators i.e. GCF of 4966,4082 is 26 .

LCM of Denominators means LCM of 347,289 as per the given fractions.

LCM of 347,289 is 100283 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4966,4082

GCF of Fractions 4966/347,4082/289 is 26/100283

2 4966, 4082
13 2483, 2041
191, 157

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 4966,4082 By Matching Biggest Common Factor Method

Greatest Common Factor of 4966,4082 By Matching Biggest Common Factor Method

Factors of 4966

List of positive integer factors of 4966 that divides 4966 without a remainder.

1,2,13,26,191,382,2483,4966

Factors of 4082

List of positive integer factors of 4082 that divides 4082 without a remainder.

1,2,13,26,157,314,2041,4082

Greatest Common Factor

We found the factors 4966,4082 . The biggest common factor number is the GCF number.
So the greatest common factor 4966,4082 is 26.

Lets's calculate LCM of 347,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 100283

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/100283

Therefore, the GCF of Fractions 4966/347,4082/289 is 26/100283

Least Common Multiple of 347,289 with GCF Formula

Least Common Multiple of 347,289 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 347,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,289) = 1

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

GCF(347,289) x common factors =1 x 1 = 1

LCM(347,289) = ( 347 × 289 ) / 1

LCM(347,289) = 100283 / 1

LCM(347,289) = 100283


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 4966/347, 4082/289

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 4966/347, 4082/289?

Answer: GCF of Numerators as per given numbers 4966/347, 4082/289 is

GCF of Numerators i.e. for 4966,4082 is 26

LCM of denominators i.e. for 347,289 is 100283.

Thus, GCF of Fractions is 26/100283.Finally, GCF of Fractions for 4966/347, 4082/289 is 26/100283.