Greatest Common Factor of 7805/904, 6856/4177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7805/904, 6856/4177

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 7805/904,6856/4177

Given fractions are 7805/904,6856/4177

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 7805,6856

Greatest Common Factor of Numerators i.e. GCF of 7805,6856 is 1 .

LCM of Denominators means LCM of 904,4177 as per the given fractions.

LCM of 904,4177 is 3776008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7805,6856

GCF of Fractions 7805/904,6856/4177 is 1/3776008

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7805,6856 By Matching Biggest Common Factor Method

Greatest Common Factor of 7805,6856 By Matching Biggest Common Factor Method

Factors of 7805

List of positive integer factors of 7805 that divides 7805 without a remainder.

1,5,7,35,223,1115,1561,7805

Factors of 6856

List of positive integer factors of 6856 that divides 6856 without a remainder.

1,2,4,8,857,1714,3428,6856

Greatest Common Factor

We found the factors 7805,6856 . The biggest common factor number is the GCF number.
So the greatest common factor 7805,6856 is 1.

Lets's calculate LCM of 904,4177

Given numbers has no common factors except 1. So, there LCM is their product i.e 3776008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3776008

Therefore, the GCF of Fractions 7805/904,6856/4177 is 1/3776008

Least Common Multiple of 904,4177 with GCF Formula

Least Common Multiple of 904,4177 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 904,4177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,4177) = 1

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

GCF(904,4177) x common factors =1 x 1 = 1

LCM(904,4177) = ( 904 × 4177 ) / 1

LCM(904,4177) = 3776008 / 1

LCM(904,4177) = 3776008


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 7805/904, 6856/4177

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 7805/904, 6856/4177?

Answer: GCF of Numerators as per given numbers 7805/904, 6856/4177 is

GCF of Numerators i.e. for 7805,6856 is 1

LCM of denominators i.e. for 904,4177 is 3776008.

Thus, GCF of Fractions is 1/3776008.Finally, GCF of Fractions for 7805/904, 6856/4177 is 1/3776008.