Greatest Common Factor of 6792/94, 1992/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6792/94, 1992/824

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 6792/94,1992/824

Given fractions are 6792/94,1992/824

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 6792,1992

Greatest Common Factor of Numerators i.e. GCF of 6792,1992 is 24 .

LCM of Denominators means LCM of 94,824 as per the given fractions.

LCM of 94,824 is 38728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6792,1992

GCF of Fractions 6792/94,1992/824 is 24/38728

2 6792, 1992
2 3396, 996
2 1698, 498
3 849, 249
283, 83

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 6792,1992 By Matching Biggest Common Factor Method

Greatest Common Factor of 6792,1992 By Matching Biggest Common Factor Method

Factors of 6792

List of positive integer factors of 6792 that divides 6792 without a remainder.

1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792

Factors of 1992

List of positive integer factors of 1992 that divides 1992 without a remainder.

1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992

Greatest Common Factor

We found the factors 6792,1992 . The biggest common factor number is the GCF number.
So the greatest common factor 6792,1992 is 24.

Lets's calculate LCM of 94,824

2 94, 824
47, 412

∴ So the LCM of the given numbers is 2 x 47 x 412 = 38728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/38728

Therefore, the GCF of Fractions 6792/94,1992/824 is 24/38728

Least Common Multiple of 94,824 with GCF Formula

Least Common Multiple of 94,824 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 94,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,824) = 2

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

GCF(94,824) x common factors =2 x 1 = 2

LCM(94,824) = ( 94 × 824 ) / 2

LCM(94,824) = 77456 / 2

LCM(94,824) = 38728


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 6792/94, 1992/824

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 6792/94, 1992/824?

Answer: GCF of Numerators as per given numbers 6792/94, 1992/824 is

GCF of Numerators i.e. for 6792,1992 is 24

LCM of denominators i.e. for 94,824 is 38728.

Thus, GCF of Fractions is 24/38728.Finally, GCF of Fractions for 6792/94, 1992/824 is 24/38728.