Greatest Common Factor of 728/32, 847/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 728/32, 847/465

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 728/32,847/465

Given fractions are 728/32,847/465

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 728,847

Greatest Common Factor of Numerators i.e. GCF of 728,847 is 7 .

LCM of Denominators means LCM of 32,465 as per the given fractions.

LCM of 32,465 is 14880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 728,847

GCF of Fractions 728/32,847/465 is 7/14880

7 728, 847
104, 121

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 728,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,847 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 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 728,847 . The biggest common factor number is the GCF number.
So the greatest common factor 728,847 is 7.

Lets's calculate LCM of 32,465

Given numbers has no common factors except 1. So, there LCM is their product i.e 14880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/14880

Therefore, the GCF of Fractions 728/32,847/465 is 7/14880

Least Common Multiple of 32,465 with GCF Formula

Least Common Multiple of 32,465 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 32,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,465) = 1

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

GCF(32,465) x common factors =1 x 1 = 1

LCM(32,465) = ( 32 × 465 ) / 1

LCM(32,465) = 14880 / 1

LCM(32,465) = 14880


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 728/32, 847/465

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 728/32, 847/465?

Answer: GCF of Numerators as per given numbers 728/32, 847/465 is

GCF of Numerators i.e. for 728,847 is 7

LCM of denominators i.e. for 32,465 is 14880.

Thus, GCF of Fractions is 7/14880.Finally, GCF of Fractions for 728/32, 847/465 is 7/14880.