Greatest Common Factor of 38/538, 252/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/538, 252/436

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 38/538,252/436

Given fractions are 38/538,252/436

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 38,252

Greatest Common Factor of Numerators i.e. GCF of 38,252 is 2 .

LCM of Denominators means LCM of 538,436 as per the given fractions.

LCM of 538,436 is 117284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,252

GCF of Fractions 38/538,252/436 is 2/117284

2 38, 252
19, 126

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

Greatest Common Factor of 38,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,252 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 38,252 . The biggest common factor number is the GCF number.
So the greatest common factor 38,252 is 2.

Lets's calculate LCM of 538,436

2 538, 436
269, 218

∴ So the LCM of the given numbers is 2 x 269 x 218 = 117284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/117284

Therefore, the GCF of Fractions 38/538,252/436 is 2/117284

Least Common Multiple of 538,436 with GCF Formula

Least Common Multiple of 538,436 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 538,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,436) = 2

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

GCF(538,436) x common factors =2 x 1 = 2

LCM(538,436) = ( 538 × 436 ) / 2

LCM(538,436) = 234568 / 2

LCM(538,436) = 117284


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 38/538, 252/436

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 38/538, 252/436?

Answer: GCF of Numerators as per given numbers 38/538, 252/436 is

GCF of Numerators i.e. for 38,252 is 2

LCM of denominators i.e. for 538,436 is 117284.

Thus, GCF of Fractions is 2/117284.Finally, GCF of Fractions for 38/538, 252/436 is 2/117284.