Greatest Common Factor of 792/882, 5646/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 792/882, 5646/699

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 792/882,5646/699

Given fractions are 792/882,5646/699

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 792,5646

Greatest Common Factor of Numerators i.e. GCF of 792,5646 is 6 .

LCM of Denominators means LCM of 882,699 as per the given fractions.

LCM of 882,699 is 205506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 792,5646

GCF of Fractions 792/882,5646/699 is 6/205506

2 792, 5646
3 396, 2823
132, 941

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

Greatest Common Factor of 792,5646 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,5646 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 5646

List of positive integer factors of 5646 that divides 5646 without a remainder.

1,2,3,6,941,1882,2823,5646

Greatest Common Factor

We found the factors 792,5646 . The biggest common factor number is the GCF number.
So the greatest common factor 792,5646 is 6.

Lets's calculate LCM of 882,699

3 882, 699
294, 233

∴ So the LCM of the given numbers is 3 x 294 x 233 = 205506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/205506

Therefore, the GCF of Fractions 792/882,5646/699 is 6/205506

Least Common Multiple of 882,699 with GCF Formula

Least Common Multiple of 882,699 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 882,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,699) = 3

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

GCF(882,699) x common factors =3 x 1 = 3

LCM(882,699) = ( 882 × 699 ) / 3

LCM(882,699) = 616518 / 3

LCM(882,699) = 205506


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 792/882, 5646/699

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 792/882, 5646/699?

Answer: GCF of Numerators as per given numbers 792/882, 5646/699 is

GCF of Numerators i.e. for 792,5646 is 6

LCM of denominators i.e. for 882,699 is 205506.

Thus, GCF of Fractions is 6/205506.Finally, GCF of Fractions for 792/882, 5646/699 is 6/205506.