Greatest Common Factor of 7804/51, 8366/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7804/51, 8366/799

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 7804/51,8366/799

Given fractions are 7804/51,8366/799

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 7804,8366

Greatest Common Factor of Numerators i.e. GCF of 7804,8366 is 2 .

LCM of Denominators means LCM of 51,799 as per the given fractions.

LCM of 51,799 is 2397 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7804,8366

GCF of Fractions 7804/51,8366/799 is 2/2397

2 7804, 8366
3902, 4183

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

Greatest Common Factor of 7804,8366 By Matching Biggest Common Factor Method

Greatest Common Factor of 7804,8366 By Matching Biggest Common Factor Method

Factors of 7804

List of positive integer factors of 7804 that divides 7804 without a remainder.

1,2,4,1951,3902,7804

Factors of 8366

List of positive integer factors of 8366 that divides 8366 without a remainder.

1,2,47,89,94,178,4183,8366

Greatest Common Factor

We found the factors 7804,8366 . The biggest common factor number is the GCF number.
So the greatest common factor 7804,8366 is 2.

Lets's calculate LCM of 51,799

17 51, 799
3, 47

∴ So the LCM of the given numbers is 17 x 3 x 47 = 2397

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2397

Therefore, the GCF of Fractions 7804/51,8366/799 is 2/2397

Least Common Multiple of 51,799 with GCF Formula

Least Common Multiple of 51,799 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 51,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,799) = 17

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

GCF(51,799) x common factors =17 x 1 = 17

LCM(51,799) = ( 51 × 799 ) / 17

LCM(51,799) = 40749 / 17

LCM(51,799) = 2397


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 7804/51, 8366/799

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 7804/51, 8366/799?

Answer: GCF of Numerators as per given numbers 7804/51, 8366/799 is

GCF of Numerators i.e. for 7804,8366 is 2

LCM of denominators i.e. for 51,799 is 2397.

Thus, GCF of Fractions is 2/2397.Finally, GCF of Fractions for 7804/51, 8366/799 is 2/2397.