Greatest Common Factor of 5048/64, 3238/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5048/64, 3238/438

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 5048/64,3238/438

Given fractions are 5048/64,3238/438

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 5048,3238

Greatest Common Factor of Numerators i.e. GCF of 5048,3238 is 2 .

LCM of Denominators means LCM of 64,438 as per the given fractions.

LCM of 64,438 is 14016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5048,3238

GCF of Fractions 5048/64,3238/438 is 2/14016

2 5048, 3238
2524, 1619

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

Greatest Common Factor of 5048,3238 By Matching Biggest Common Factor Method

Greatest Common Factor of 5048,3238 By Matching Biggest Common Factor Method

Factors of 5048

List of positive integer factors of 5048 that divides 5048 without a remainder.

1,2,4,8,631,1262,2524,5048

Factors of 3238

List of positive integer factors of 3238 that divides 3238 without a remainder.

1,2,1619,3238

Greatest Common Factor

We found the factors 5048,3238 . The biggest common factor number is the GCF number.
So the greatest common factor 5048,3238 is 2.

Lets's calculate LCM of 64,438

2 64, 438
32, 219

∴ So the LCM of the given numbers is 2 x 32 x 219 = 14016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14016

Therefore, the GCF of Fractions 5048/64,3238/438 is 2/14016

Least Common Multiple of 64,438 with GCF Formula

Least Common Multiple of 64,438 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 64,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,438) = 2

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

GCF(64,438) x common factors =2 x 1 = 2

LCM(64,438) = ( 64 × 438 ) / 2

LCM(64,438) = 28032 / 2

LCM(64,438) = 14016


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 5048/64, 3238/438

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 5048/64, 3238/438?

Answer: GCF of Numerators as per given numbers 5048/64, 3238/438 is

GCF of Numerators i.e. for 5048,3238 is 2

LCM of denominators i.e. for 64,438 is 14016.

Thus, GCF of Fractions is 2/14016.Finally, GCF of Fractions for 5048/64, 3238/438 is 2/14016.