Greatest Common Factor of 7831/96, 1728/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7831/96, 1728/917

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 7831/96,1728/917

Given fractions are 7831/96,1728/917

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 7831,1728

Greatest Common Factor of Numerators i.e. GCF of 7831,1728 is 1 .

LCM of Denominators means LCM of 96,917 as per the given fractions.

LCM of 96,917 is 88032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7831,1728

GCF of Fractions 7831/96,1728/917 is 1/88032

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

Greatest Common Factor of 7831,1728 By Matching Biggest Common Factor Method

Greatest Common Factor of 7831,1728 By Matching Biggest Common Factor Method

Factors of 7831

List of positive integer factors of 7831 that divides 7831 without a remainder.

1,41,191,7831

Factors of 1728

List of positive integer factors of 1728 that divides 1728 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,144,192,216,288,432,576,864,1728

Greatest Common Factor

We found the factors 7831,1728 . The biggest common factor number is the GCF number.
So the greatest common factor 7831,1728 is 1.

Lets's calculate LCM of 96,917

Given numbers has no common factors except 1. So, there LCM is their product i.e 88032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88032

Therefore, the GCF of Fractions 7831/96,1728/917 is 1/88032

Least Common Multiple of 96,917 with GCF Formula

Least Common Multiple of 96,917 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 96,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,917) = 1

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

GCF(96,917) x common factors =1 x 1 = 1

LCM(96,917) = ( 96 × 917 ) / 1

LCM(96,917) = 88032 / 1

LCM(96,917) = 88032


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 7831/96, 1728/917

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 7831/96, 1728/917?

Answer: GCF of Numerators as per given numbers 7831/96, 1728/917 is

GCF of Numerators i.e. for 7831,1728 is 1

LCM of denominators i.e. for 96,917 is 88032.

Thus, GCF of Fractions is 1/88032.Finally, GCF of Fractions for 7831/96, 1728/917 is 1/88032.