Greatest Common Factor of 792/65, 834/23, 386/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 792/65, 834/23, 386/54

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 792/65,834/23,386/54

Given fractions are 792/65,834/23,386/54

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 792,834,386

Greatest Common Factor of Numerators i.e. GCF of 792,834,386 is 2 .

LCM of Denominators means LCM of 65,23,54 as per the given fractions.

LCM of 65,23,54 is 80730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 792,834,386

GCF of Fractions 792/65,834/23,386/54 is 2/80730

2 792, 834, 386
396, 417, 193

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

Greatest Common Factor of 792,834,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,834,386 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 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 792,834,386 . The biggest common factor number is the GCF number.
So the greatest common factor 792,834,386 is 2.

Lets's calculate LCM of 65,23,54

Given numbers has no common factors except 1. So, there LCM is their product i.e 80730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80730

Therefore, the GCF of Fractions 792/65,834/23,386/54 is 2/80730

Least Common Multiple of 65,23,54 with GCF Formula

Least Common Multiple of 65,23,54 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 65,23,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,23,54) = 1

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

GCF(65,23,54) x common factors =1 x 1 = 1

LCM(65,23,54) = ( 65 × 23 × 54 ) / 1

LCM(65,23,54) = 80730 / 1

LCM(65,23,54) = 80730


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 792/65, 834/23, 386/54

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 792/65, 834/23, 386/54?

Answer: GCF of Numerators as per given numbers 792/65, 834/23, 386/54 is

GCF of Numerators i.e. for 792,834,386 is 2

LCM of denominators i.e. for 65,23,54 is 80730.

Thus, GCF of Fractions is 2/80730.Finally, GCF of Fractions for 792/65, 834/23, 386/54 is 2/80730.