Greatest Common Factor of 438/472, 4932/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 438/472, 4932/248

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 438/472,4932/248

Given fractions are 438/472,4932/248

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 438,4932

Greatest Common Factor of Numerators i.e. GCF of 438,4932 is 6 .

LCM of Denominators means LCM of 472,248 as per the given fractions.

LCM of 472,248 is 14632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 438,4932

GCF of Fractions 438/472,4932/248 is 6/14632

2 438, 4932
3 219, 2466
73, 822

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 438,4932 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,4932 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 4932

List of positive integer factors of 4932 that divides 4932 without a remainder.

1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932

Greatest Common Factor

We found the factors 438,4932 . The biggest common factor number is the GCF number.
So the greatest common factor 438,4932 is 6.

Lets's calculate LCM of 472,248

2 472, 248
2 236, 124
2 118, 62
59, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 31 = 14632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/14632

Therefore, the GCF of Fractions 438/472,4932/248 is 6/14632

Least Common Multiple of 472,248 with GCF Formula

Least Common Multiple of 472,248 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 472,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,248) = 8

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

GCF(472,248) x common factors =8 x 1 = 8

LCM(472,248) = ( 472 × 248 ) / 8

LCM(472,248) = 117056 / 8

LCM(472,248) = 14632


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 438/472, 4932/248

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 438/472, 4932/248?

Answer: GCF of Numerators as per given numbers 438/472, 4932/248 is

GCF of Numerators i.e. for 438,4932 is 6

LCM of denominators i.e. for 472,248 is 14632.

Thus, GCF of Fractions is 6/14632.Finally, GCF of Fractions for 438/472, 4932/248 is 6/14632.