Greatest Common Factor of 7878/469, 9738/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7878/469, 9738/802

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 7878/469,9738/802

Given fractions are 7878/469,9738/802

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 7878,9738

Greatest Common Factor of Numerators i.e. GCF of 7878,9738 is 6 .

LCM of Denominators means LCM of 469,802 as per the given fractions.

LCM of 469,802 is 376138 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7878,9738

GCF of Fractions 7878/469,9738/802 is 6/376138

2 7878, 9738
3 3939, 4869
1313, 1623

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7878,9738 By Matching Biggest Common Factor Method

Greatest Common Factor of 7878,9738 By Matching Biggest Common Factor Method

Factors of 7878

List of positive integer factors of 7878 that divides 7878 without a remainder.

1,2,3,6,13,26,39,78,101,202,303,606,1313,2626,3939,7878

Factors of 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1,2,3,6,9,18,541,1082,1623,3246,4869,9738

Greatest Common Factor

We found the factors 7878,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 7878,9738 is 6.

Lets's calculate LCM of 469,802

Given numbers has no common factors except 1. So, there LCM is their product i.e 376138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/376138

Therefore, the GCF of Fractions 7878/469,9738/802 is 6/376138

Least Common Multiple of 469,802 with GCF Formula

Least Common Multiple of 469,802 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 469,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,802) = 1

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

GCF(469,802) x common factors =1 x 1 = 1

LCM(469,802) = ( 469 × 802 ) / 1

LCM(469,802) = 376138 / 1

LCM(469,802) = 376138


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 7878/469, 9738/802

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 7878/469, 9738/802?

Answer: GCF of Numerators as per given numbers 7878/469, 9738/802 is

GCF of Numerators i.e. for 7878,9738 is 6

LCM of denominators i.e. for 469,802 is 376138.

Thus, GCF of Fractions is 6/376138.Finally, GCF of Fractions for 7878/469, 9738/802 is 6/376138.