Greatest Common Factor of 375/38, 1311/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 375/38, 1311/382

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 375/38,1311/382

Given fractions are 375/38,1311/382

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 375,1311

Greatest Common Factor of Numerators i.e. GCF of 375,1311 is 3 .

LCM of Denominators means LCM of 38,382 as per the given fractions.

LCM of 38,382 is 7258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 375,1311

GCF of Fractions 375/38,1311/382 is 3/7258

3 375, 1311
125, 437

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 375,1311 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,1311 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 1311

List of positive integer factors of 1311 that divides 1311 without a remainder.

1,3,19,23,57,69,437,1311

Greatest Common Factor

We found the factors 375,1311 . The biggest common factor number is the GCF number.
So the greatest common factor 375,1311 is 3.


Lets's calculate LCM of 38,382

2 38, 382
19, 191

∴ So the LCM of the given numbers is 2 x 19 x 191 = 7258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7258

Therefore, the GCF of Fractions 375/38,1311/382 is 3/7258

Least Common Multiple of 38,382 with GCF Formula

Least Common Multiple of 38,382 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 38,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,382) = 2

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

GCF(38,382) x common factors =2 x 1 = 2

LCM(38,382) = ( 38 × 382 ) / 2

LCM(38,382) = 14516 / 2

LCM(38,382) = 7258


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 375/38, 1311/382

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 375/38, 1311/382?

Answer: GCF of Numerators as per given numbers 375/38, 1311/382 is

GCF of Numerators i.e. for 375,1311 is 3

LCM of denominators i.e. for 38,382 is 7258.

Thus, GCF of Fractions is 3/7258.Finally, GCF of Fractions for 375/38, 1311/382 is 3/7258.