Greatest Common Factor of 365/15, 375/48, 915/43

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/15, 375/48, 915/43

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 365/15,375/48,915/43

Given fractions are 365/15,375/48,915/43

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 365,375,915

Greatest Common Factor of Numerators i.e. GCF of 365,375,915 is 5 .

LCM of Denominators means LCM of 15,48,43 as per the given fractions.

LCM of 15,48,43 is 10320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,375,915

GCF of Fractions 365/15,375/48,915/43 is 5/10320

5 365, 375, 915
73, 75, 183

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 365,375,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,375,915 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

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 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 365,375,915 . The biggest common factor number is the GCF number.
So the greatest common factor 365,375,915 is 5.

Lets's calculate LCM of 15,48,43

3 15, 48, 43
5, 16, 43

∴ So the LCM of the given numbers is 3 x 5 x 16 x 43 = 10320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/10320

Therefore, the GCF of Fractions 365/15,375/48,915/43 is 5/10320

Least Common Multiple of 15,48,43 with GCF Formula

Least Common Multiple of 15,48,43 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 15,48,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,48,43) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,48,43) x common factors =1 x 3 = 3

LCM(15,48,43) = ( 15 × 48 × 43 ) / 3

LCM(15,48,43) = 30960 / 3

LCM(15,48,43) = 10320


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 365/15, 375/48, 915/43

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 365/15, 375/48, 915/43?

Answer: GCF of Numerators as per given numbers 365/15, 375/48, 915/43 is

GCF of Numerators i.e. for 365,375,915 is 5

LCM of denominators i.e. for 15,48,43 is 10320.

Thus, GCF of Fractions is 5/10320.Finally, GCF of Fractions for 365/15, 375/48, 915/43 is 5/10320.