Greatest Common Factor of 4298/26, 5168/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4298/26, 5168/706

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 4298/26,5168/706

Given fractions are 4298/26,5168/706

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 4298,5168

Greatest Common Factor of Numerators i.e. GCF of 4298,5168 is 2 .

LCM of Denominators means LCM of 26,706 as per the given fractions.

LCM of 26,706 is 9178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4298,5168

GCF of Fractions 4298/26,5168/706 is 2/9178

2 4298, 5168
2149, 2584

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

Greatest Common Factor of 4298,5168 By Matching Biggest Common Factor Method

Greatest Common Factor of 4298,5168 By Matching Biggest Common Factor Method

Factors of 4298

List of positive integer factors of 4298 that divides 4298 without a remainder.

1,2,7,14,307,614,2149,4298

Factors of 5168

List of positive integer factors of 5168 that divides 5168 without a remainder.

1,2,4,8,16,17,19,34,38,68,76,136,152,272,304,323,646,1292,2584,5168

Greatest Common Factor

We found the factors 4298,5168 . The biggest common factor number is the GCF number.
So the greatest common factor 4298,5168 is 2.

Lets's calculate LCM of 26,706

2 26, 706
13, 353

∴ So the LCM of the given numbers is 2 x 13 x 353 = 9178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9178

Therefore, the GCF of Fractions 4298/26,5168/706 is 2/9178

Least Common Multiple of 26,706 with GCF Formula

Least Common Multiple of 26,706 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 26,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,706) = 2

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

GCF(26,706) x common factors =2 x 1 = 2

LCM(26,706) = ( 26 × 706 ) / 2

LCM(26,706) = 18356 / 2

LCM(26,706) = 9178


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 4298/26, 5168/706

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 4298/26, 5168/706?

Answer: GCF of Numerators as per given numbers 4298/26, 5168/706 is

GCF of Numerators i.e. for 4298,5168 is 2

LCM of denominators i.e. for 26,706 is 9178.

Thus, GCF of Fractions is 2/9178.Finally, GCF of Fractions for 4298/26, 5168/706 is 2/9178.