Greatest Common Factor of 1416/795, 8766/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1416/795, 8766/978

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 1416/795,8766/978

Given fractions are 1416/795,8766/978

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 1416,8766

Greatest Common Factor of Numerators i.e. GCF of 1416,8766 is 6 .

LCM of Denominators means LCM of 795,978 as per the given fractions.

LCM of 795,978 is 259170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1416,8766

GCF of Fractions 1416/795,8766/978 is 6/259170

2 1416, 8766
3 708, 4383
236, 1461

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

Greatest Common Factor of 1416,8766 By Matching Biggest Common Factor Method

Greatest Common Factor of 1416,8766 By Matching Biggest Common Factor Method

Factors of 1416

List of positive integer factors of 1416 that divides 1416 without a remainder.

1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416

Factors of 8766

List of positive integer factors of 8766 that divides 8766 without a remainder.

1,2,3,6,9,18,487,974,1461,2922,4383,8766

Greatest Common Factor

We found the factors 1416,8766 . The biggest common factor number is the GCF number.
So the greatest common factor 1416,8766 is 6.

Lets's calculate LCM of 795,978

3 795, 978
265, 326

∴ So the LCM of the given numbers is 3 x 265 x 326 = 259170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/259170

Therefore, the GCF of Fractions 1416/795,8766/978 is 6/259170

Least Common Multiple of 795,978 with GCF Formula

Least Common Multiple of 795,978 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 795,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,978) = 3

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

GCF(795,978) x common factors =3 x 1 = 3

LCM(795,978) = ( 795 × 978 ) / 3

LCM(795,978) = 777510 / 3

LCM(795,978) = 259170


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 1416/795, 8766/978

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 1416/795, 8766/978?

Answer: GCF of Numerators as per given numbers 1416/795, 8766/978 is

GCF of Numerators i.e. for 1416,8766 is 6

LCM of denominators i.e. for 795,978 is 259170.

Thus, GCF of Fractions is 6/259170.Finally, GCF of Fractions for 1416/795, 8766/978 is 6/259170.