Greatest Common Factor of 792/96, 827/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 792/96, 827/914

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 792/96,827/914

Given fractions are 792/96,827/914

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 792,827

Greatest Common Factor of Numerators i.e. GCF of 792,827 is 1 .

LCM of Denominators means LCM of 96,914 as per the given fractions.

LCM of 96,914 is 43872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 792,827

GCF of Fractions 792/96,827/914 is 1/43872

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 792,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,827 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 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 792,827 . The biggest common factor number is the GCF number.
So the greatest common factor 792,827 is 1.

Lets's calculate LCM of 96,914

2 96, 914
48, 457

∴ So the LCM of the given numbers is 2 x 48 x 457 = 43872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43872

Therefore, the GCF of Fractions 792/96,827/914 is 1/43872

Least Common Multiple of 96,914 with GCF Formula

Least Common Multiple of 96,914 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 96,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,914) = 2

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

GCF(96,914) x common factors =2 x 1 = 2

LCM(96,914) = ( 96 × 914 ) / 2

LCM(96,914) = 87744 / 2

LCM(96,914) = 43872


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 792/96, 827/914

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 792/96, 827/914?

Answer: GCF of Numerators as per given numbers 792/96, 827/914 is

GCF of Numerators i.e. for 792,827 is 1

LCM of denominators i.e. for 96,914 is 43872.

Thus, GCF of Fractions is 1/43872.Finally, GCF of Fractions for 792/96, 827/914 is 1/43872.