Greatest Common Factor of 2438/208, 7199/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2438/208, 7199/532

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 2438/208,7199/532

Given fractions are 2438/208,7199/532

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 2438,7199

Greatest Common Factor of Numerators i.e. GCF of 2438,7199 is 23 .

LCM of Denominators means LCM of 208,532 as per the given fractions.

LCM of 208,532 is 27664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2438,7199

GCF of Fractions 2438/208,7199/532 is 23/27664

23 2438, 7199
106, 313

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 2438,7199 By Matching Biggest Common Factor Method

Greatest Common Factor of 2438,7199 By Matching Biggest Common Factor Method

Factors of 2438

List of positive integer factors of 2438 that divides 2438 without a remainder.

1,2,23,46,53,106,1219,2438

Factors of 7199

List of positive integer factors of 7199 that divides 7199 without a remainder.

1,23,313,7199

Greatest Common Factor

We found the factors 2438,7199 . The biggest common factor number is the GCF number.
So the greatest common factor 2438,7199 is 23.

Lets's calculate LCM of 208,532

2 208, 532
2 104, 266
52, 133

∴ So the LCM of the given numbers is 2 x 2 x 52 x 133 = 27664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/27664

Therefore, the GCF of Fractions 2438/208,7199/532 is 23/27664

Least Common Multiple of 208,532 with GCF Formula

Least Common Multiple of 208,532 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 208,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,532) = 4

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

GCF(208,532) x common factors =4 x 1 = 4

LCM(208,532) = ( 208 × 532 ) / 4

LCM(208,532) = 110656 / 4

LCM(208,532) = 27664


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 2438/208, 7199/532

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 2438/208, 7199/532?

Answer: GCF of Numerators as per given numbers 2438/208, 7199/532 is

GCF of Numerators i.e. for 2438,7199 is 23

LCM of denominators i.e. for 208,532 is 27664.

Thus, GCF of Fractions is 23/27664.Finally, GCF of Fractions for 2438/208, 7199/532 is 23/27664.