Greatest Common Factor of 259/51, 4298/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 259/51, 4298/810

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 259/51,4298/810

Given fractions are 259/51,4298/810

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 259,4298

Greatest Common Factor of Numerators i.e. GCF of 259,4298 is 7 .

LCM of Denominators means LCM of 51,810 as per the given fractions.

LCM of 51,810 is 13770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 259,4298

GCF of Fractions 259/51,4298/810 is 7/13770

7 259, 4298
37, 614

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 259,4298 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,4298 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 4298

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

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

Greatest Common Factor

We found the factors 259,4298 . The biggest common factor number is the GCF number.
So the greatest common factor 259,4298 is 7.

Lets's calculate LCM of 51,810

3 51, 810
17, 270

∴ So the LCM of the given numbers is 3 x 17 x 270 = 13770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/13770

Therefore, the GCF of Fractions 259/51,4298/810 is 7/13770

Least Common Multiple of 51,810 with GCF Formula

Least Common Multiple of 51,810 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 51,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,810) = 3

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

GCF(51,810) x common factors =3 x 1 = 3

LCM(51,810) = ( 51 × 810 ) / 3

LCM(51,810) = 41310 / 3

LCM(51,810) = 13770


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 259/51, 4298/810

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 259/51, 4298/810?

Answer: GCF of Numerators as per given numbers 259/51, 4298/810 is

GCF of Numerators i.e. for 259,4298 is 7

LCM of denominators i.e. for 51,810 is 13770.

Thus, GCF of Fractions is 7/13770.Finally, GCF of Fractions for 259/51, 4298/810 is 7/13770.