Greatest Common Factor of 69/39, 51/25, 298/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/39, 51/25, 298/804

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 69/39,51/25,298/804

Given fractions are 69/39,51/25,298/804

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 69,51,298

Greatest Common Factor of Numerators i.e. GCF of 69,51,298 is 1 .

LCM of Denominators means LCM of 39,25,804 as per the given fractions.

LCM of 39,25,804 is 261300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,51,298

GCF of Fractions 69/39,51/25,298/804 is 1/261300

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 69,51,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,51,298 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 69,51,298 . The biggest common factor number is the GCF number.
So the greatest common factor 69,51,298 is 1.

Lets's calculate LCM of 39,25,804

3 39, 25, 804
13, 25, 268

∴ So the LCM of the given numbers is 3 x 13 x 25 x 268 = 261300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261300

Therefore, the GCF of Fractions 69/39,51/25,298/804 is 1/261300

Least Common Multiple of 39,25,804 with GCF Formula

Least Common Multiple of 39,25,804 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 39,25,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,25,804) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,25,804) x common factors =1 x 3 = 3

LCM(39,25,804) = ( 39 × 25 × 804 ) / 3

LCM(39,25,804) = 783900 / 3

LCM(39,25,804) = 261300


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 69/39, 51/25, 298/804

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 69/39, 51/25, 298/804?

Answer: GCF of Numerators as per given numbers 69/39, 51/25, 298/804 is

GCF of Numerators i.e. for 69,51,298 is 1

LCM of denominators i.e. for 39,25,804 is 261300.

Thus, GCF of Fractions is 1/261300.Finally, GCF of Fractions for 69/39, 51/25, 298/804 is 1/261300.