Greatest Common Factor of 9736/69, 6508/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9736/69, 6508/258

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 9736/69,6508/258

Given fractions are 9736/69,6508/258

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 9736,6508

Greatest Common Factor of Numerators i.e. GCF of 9736,6508 is 4 .

LCM of Denominators means LCM of 69,258 as per the given fractions.

LCM of 69,258 is 5934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9736,6508

GCF of Fractions 9736/69,6508/258 is 4/5934

2 9736, 6508
2 4868, 3254
2434, 1627

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9736,6508 By Matching Biggest Common Factor Method

Greatest Common Factor of 9736,6508 By Matching Biggest Common Factor Method

Factors of 9736

List of positive integer factors of 9736 that divides 9736 without a remainder.

1,2,4,8,1217,2434,4868,9736

Factors of 6508

List of positive integer factors of 6508 that divides 6508 without a remainder.

1,2,4,1627,3254,6508

Greatest Common Factor

We found the factors 9736,6508 . The biggest common factor number is the GCF number.
So the greatest common factor 9736,6508 is 4.

Lets's calculate LCM of 69,258

3 69, 258
23, 86

∴ So the LCM of the given numbers is 3 x 23 x 86 = 5934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5934

Therefore, the GCF of Fractions 9736/69,6508/258 is 4/5934

Least Common Multiple of 69,258 with GCF Formula

Least Common Multiple of 69,258 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 69,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,258) = 3

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

GCF(69,258) x common factors =3 x 1 = 3

LCM(69,258) = ( 69 × 258 ) / 3

LCM(69,258) = 17802 / 3

LCM(69,258) = 5934


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 9736/69, 6508/258

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 9736/69, 6508/258?

Answer: GCF of Numerators as per given numbers 9736/69, 6508/258 is

GCF of Numerators i.e. for 9736,6508 is 4

LCM of denominators i.e. for 69,258 is 5934.

Thus, GCF of Fractions is 4/5934.Finally, GCF of Fractions for 9736/69, 6508/258 is 4/5934.