Greatest Common Factor of 548/69, 6258/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/69, 6258/144

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 548/69,6258/144

Given fractions are 548/69,6258/144

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 548,6258

Greatest Common Factor of Numerators i.e. GCF of 548,6258 is 2 .

LCM of Denominators means LCM of 69,144 as per the given fractions.

LCM of 69,144 is 3312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,6258

GCF of Fractions 548/69,6258/144 is 2/3312

2 548, 6258
274, 3129

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

Greatest Common Factor of 548,6258 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,6258 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 6258

List of positive integer factors of 6258 that divides 6258 without a remainder.

1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258

Greatest Common Factor

We found the factors 548,6258 . The biggest common factor number is the GCF number.
So the greatest common factor 548,6258 is 2.

Lets's calculate LCM of 69,144

3 69, 144
23, 48

∴ So the LCM of the given numbers is 3 x 23 x 48 = 3312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3312

Therefore, the GCF of Fractions 548/69,6258/144 is 2/3312

Least Common Multiple of 69,144 with GCF Formula

Least Common Multiple of 69,144 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 69,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,144) = 3

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

GCF(69,144) x common factors =3 x 1 = 3

LCM(69,144) = ( 69 × 144 ) / 3

LCM(69,144) = 9936 / 3

LCM(69,144) = 3312


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 548/69, 6258/144

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 548/69, 6258/144?

Answer: GCF of Numerators as per given numbers 548/69, 6258/144 is

GCF of Numerators i.e. for 548,6258 is 2

LCM of denominators i.e. for 69,144 is 3312.

Thus, GCF of Fractions is 2/3312.Finally, GCF of Fractions for 548/69, 6258/144 is 2/3312.