Greatest Common Factor of 7851/379, 8301/8753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7851/379, 8301/8753

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 7851/379,8301/8753

Given fractions are 7851/379,8301/8753

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 7851,8301

Greatest Common Factor of Numerators i.e. GCF of 7851,8301 is 3 .

LCM of Denominators means LCM of 379,8753 as per the given fractions.

LCM of 379,8753 is 3317387 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7851,8301

GCF of Fractions 7851/379,8301/8753 is 3/3317387

3 7851, 8301
2617, 2767

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

Greatest Common Factor of 7851,8301 By Matching Biggest Common Factor Method

Greatest Common Factor of 7851,8301 By Matching Biggest Common Factor Method

Factors of 7851

List of positive integer factors of 7851 that divides 7851 without a remainder.

1,3,2617,7851

Factors of 8301

List of positive integer factors of 8301 that divides 8301 without a remainder.

1,3,2767,8301

Greatest Common Factor

We found the factors 7851,8301 . The biggest common factor number is the GCF number.
So the greatest common factor 7851,8301 is 3.

Lets's calculate LCM of 379,8753

Given numbers has no common factors except 1. So, there LCM is their product i.e 3317387

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3317387

Therefore, the GCF of Fractions 7851/379,8301/8753 is 3/3317387

Least Common Multiple of 379,8753 with GCF Formula

Least Common Multiple of 379,8753 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 379,8753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,8753) = 1

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

GCF(379,8753) x common factors =1 x 1 = 1

LCM(379,8753) = ( 379 × 8753 ) / 1

LCM(379,8753) = 3317387 / 1

LCM(379,8753) = 3317387


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 7851/379, 8301/8753

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 7851/379, 8301/8753?

Answer: GCF of Numerators as per given numbers 7851/379, 8301/8753 is

GCF of Numerators i.e. for 7851,8301 is 3

LCM of denominators i.e. for 379,8753 is 3317387.

Thus, GCF of Fractions is 3/3317387.Finally, GCF of Fractions for 7851/379, 8301/8753 is 3/3317387.