Greatest Common Factor of 792/212, 4649/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 792/212, 4649/728

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 792/212,4649/728

Given fractions are 792/212,4649/728

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 792,4649

Greatest Common Factor of Numerators i.e. GCF of 792,4649 is 1 .

LCM of Denominators means LCM of 212,728 as per the given fractions.

LCM of 212,728 is 38584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 792,4649

GCF of Fractions 792/212,4649/728 is 1/38584

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

Greatest Common Factor of 792,4649 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,4649 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 4649

List of positive integer factors of 4649 that divides 4649 without a remainder.

1,4649

Greatest Common Factor

We found the factors 792,4649 . The biggest common factor number is the GCF number.
So the greatest common factor 792,4649 is 1.

Lets's calculate LCM of 212,728

2 212, 728
2 106, 364
53, 182

∴ So the LCM of the given numbers is 2 x 2 x 53 x 182 = 38584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38584

Therefore, the GCF of Fractions 792/212,4649/728 is 1/38584

Least Common Multiple of 212,728 with GCF Formula

Least Common Multiple of 212,728 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 212,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,728) = 4

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

GCF(212,728) x common factors =4 x 1 = 4

LCM(212,728) = ( 212 × 728 ) / 4

LCM(212,728) = 154336 / 4

LCM(212,728) = 38584


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 792/212, 4649/728

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 792/212, 4649/728?

Answer: GCF of Numerators as per given numbers 792/212, 4649/728 is

GCF of Numerators i.e. for 792,4649 is 1

LCM of denominators i.e. for 212,728 is 38584.

Thus, GCF of Fractions is 1/38584.Finally, GCF of Fractions for 792/212, 4649/728 is 1/38584.