Greatest Common Factor of 7779/402, 9738/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7779/402, 9738/293

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 7779/402,9738/293

Given fractions are 7779/402,9738/293

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 7779,9738

Greatest Common Factor of Numerators i.e. GCF of 7779,9738 is 3 .

LCM of Denominators means LCM of 402,293 as per the given fractions.

LCM of 402,293 is 117786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7779,9738

GCF of Fractions 7779/402,9738/293 is 3/117786

3 7779, 9738
2593, 3246

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

Greatest Common Factor of 7779,9738 By Matching Biggest Common Factor Method

Greatest Common Factor of 7779,9738 By Matching Biggest Common Factor Method

Factors of 7779

List of positive integer factors of 7779 that divides 7779 without a remainder.

1,3,2593,7779

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 7779,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 7779,9738 is 3.

Lets's calculate LCM of 402,293

Given numbers has no common factors except 1. So, there LCM is their product i.e 117786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/117786

Therefore, the GCF of Fractions 7779/402,9738/293 is 3/117786

Least Common Multiple of 402,293 with GCF Formula

Least Common Multiple of 402,293 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 402,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,293) = 1

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

GCF(402,293) x common factors =1 x 1 = 1

LCM(402,293) = ( 402 × 293 ) / 1

LCM(402,293) = 117786 / 1

LCM(402,293) = 117786


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 7779/402, 9738/293

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 7779/402, 9738/293?

Answer: GCF of Numerators as per given numbers 7779/402, 9738/293 is

GCF of Numerators i.e. for 7779,9738 is 3

LCM of denominators i.e. for 402,293 is 117786.

Thus, GCF of Fractions is 3/117786.Finally, GCF of Fractions for 7779/402, 9738/293 is 3/117786.