Greatest Common Factor of 5770/792, 7668/2781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5770/792, 7668/2781

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 5770/792,7668/2781

Given fractions are 5770/792,7668/2781

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 5770,7668

Greatest Common Factor of Numerators i.e. GCF of 5770,7668 is 2 .

LCM of Denominators means LCM of 792,2781 as per the given fractions.

LCM of 792,2781 is 244728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5770,7668

GCF of Fractions 5770/792,7668/2781 is 2/244728

2 5770, 7668
2885, 3834

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

Greatest Common Factor of 5770,7668 By Matching Biggest Common Factor Method

Greatest Common Factor of 5770,7668 By Matching Biggest Common Factor Method

Factors of 5770

List of positive integer factors of 5770 that divides 5770 without a remainder.

1,2,5,10,577,1154,2885,5770

Factors of 7668

List of positive integer factors of 7668 that divides 7668 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668

Greatest Common Factor

We found the factors 5770,7668 . The biggest common factor number is the GCF number.
So the greatest common factor 5770,7668 is 2.

Lets's calculate LCM of 792,2781

3 792, 2781
3 264, 927
88, 309

∴ So the LCM of the given numbers is 3 x 3 x 88 x 309 = 244728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/244728

Therefore, the GCF of Fractions 5770/792,7668/2781 is 2/244728

Least Common Multiple of 792,2781 with GCF Formula

Least Common Multiple of 792,2781 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 792,2781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,2781) = 9

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

GCF(792,2781) x common factors =9 x 1 = 9

LCM(792,2781) = ( 792 × 2781 ) / 9

LCM(792,2781) = 2202552 / 9

LCM(792,2781) = 244728


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 5770/792, 7668/2781

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 5770/792, 7668/2781?

Answer: GCF of Numerators as per given numbers 5770/792, 7668/2781 is

GCF of Numerators i.e. for 5770,7668 is 2

LCM of denominators i.e. for 792,2781 is 244728.

Thus, GCF of Fractions is 2/244728.Finally, GCF of Fractions for 5770/792, 7668/2781 is 2/244728.