Greatest Common Factor of 3750/759, 7846/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3750/759, 7846/387

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 3750/759,7846/387

Given fractions are 3750/759,7846/387

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 3750,7846

Greatest Common Factor of Numerators i.e. GCF of 3750,7846 is 2 .

LCM of Denominators means LCM of 759,387 as per the given fractions.

LCM of 759,387 is 97911 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3750,7846

GCF of Fractions 3750/759,7846/387 is 2/97911

2 3750, 7846
1875, 3923

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

Greatest Common Factor of 3750,7846 By Matching Biggest Common Factor Method

Greatest Common Factor of 3750,7846 By Matching Biggest Common Factor Method

Factors of 3750

List of positive integer factors of 3750 that divides 3750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,625,750,1250,1875,3750

Factors of 7846

List of positive integer factors of 7846 that divides 7846 without a remainder.

1,2,3923,7846

Greatest Common Factor

We found the factors 3750,7846 . The biggest common factor number is the GCF number.
So the greatest common factor 3750,7846 is 2.

Lets's calculate LCM of 759,387

3 759, 387
253, 129

∴ So the LCM of the given numbers is 3 x 253 x 129 = 97911

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97911

Therefore, the GCF of Fractions 3750/759,7846/387 is 2/97911

Least Common Multiple of 759,387 with GCF Formula

Least Common Multiple of 759,387 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 759,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,387) = 3

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

GCF(759,387) x common factors =3 x 1 = 3

LCM(759,387) = ( 759 × 387 ) / 3

LCM(759,387) = 293733 / 3

LCM(759,387) = 97911


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 3750/759, 7846/387

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 3750/759, 7846/387?

Answer: GCF of Numerators as per given numbers 3750/759, 7846/387 is

GCF of Numerators i.e. for 3750,7846 is 2

LCM of denominators i.e. for 759,387 is 97911.

Thus, GCF of Fractions is 2/97911.Finally, GCF of Fractions for 3750/759, 7846/387 is 2/97911.