Greatest Common Factor of 728/67, 793/48, 184/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 728/67, 793/48, 184/64

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 728/67,793/48,184/64

Given fractions are 728/67,793/48,184/64

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 728,793,184

Greatest Common Factor of Numerators i.e. GCF of 728,793,184 is 1 .

LCM of Denominators means LCM of 67,48,64 as per the given fractions.

LCM of 67,48,64 is 12864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 728,793,184

GCF of Fractions 728/67,793/48,184/64 is 1/12864

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

Greatest Common Factor of 728,793,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,793,184 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 728,793,184 . The biggest common factor number is the GCF number.
So the greatest common factor 728,793,184 is 1.

Lets's calculate LCM of 67,48,64

2 67, 48, 64
2 67, 24, 32
2 67, 12, 16
2 67, 6, 8
67, 3, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 67 x 3 x 4 = 12864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12864

Therefore, the GCF of Fractions 728/67,793/48,184/64 is 1/12864

Least Common Multiple of 67,48,64 with GCF Formula

Least Common Multiple of 67,48,64 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 67,48,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,48,64) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(67,48,64) x common factors =1 x 16 = 16

LCM(67,48,64) = ( 67 × 48 × 64 ) / 16

LCM(67,48,64) = 205824 / 16

LCM(67,48,64) = 12864


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 728/67, 793/48, 184/64

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 728/67, 793/48, 184/64?

Answer: GCF of Numerators as per given numbers 728/67, 793/48, 184/64 is

GCF of Numerators i.e. for 728,793,184 is 1

LCM of denominators i.e. for 67,48,64 is 12864.

Thus, GCF of Fractions is 1/12864.Finally, GCF of Fractions for 728/67, 793/48, 184/64 is 1/12864.