Greatest Common Factor of 8723/984, 7369/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8723/984, 7369/792

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 8723/984,7369/792

Given fractions are 8723/984,7369/792

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 8723,7369

Greatest Common Factor of Numerators i.e. GCF of 8723,7369 is 1 .

LCM of Denominators means LCM of 984,792 as per the given fractions.

LCM of 984,792 is 32472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8723,7369

GCF of Fractions 8723/984,7369/792 is 1/32472

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

Greatest Common Factor of 8723,7369 By Matching Biggest Common Factor Method

Greatest Common Factor of 8723,7369 By Matching Biggest Common Factor Method

Factors of 8723

List of positive integer factors of 8723 that divides 8723 without a remainder.

1,11,13,61,143,671,793,8723

Factors of 7369

List of positive integer factors of 7369 that divides 7369 without a remainder.

1,7369

Greatest Common Factor

We found the factors 8723,7369 . The biggest common factor number is the GCF number.
So the greatest common factor 8723,7369 is 1.

Lets's calculate LCM of 984,792

2 984, 792
2 492, 396
2 246, 198
3 123, 99
41, 33

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 33 = 32472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32472

Therefore, the GCF of Fractions 8723/984,7369/792 is 1/32472

Least Common Multiple of 984,792 with GCF Formula

Least Common Multiple of 984,792 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 984,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,792) = 24

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

GCF(984,792) x common factors =24 x 1 = 24

LCM(984,792) = ( 984 × 792 ) / 24

LCM(984,792) = 779328 / 24

LCM(984,792) = 32472


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 8723/984, 7369/792

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 8723/984, 7369/792?

Answer: GCF of Numerators as per given numbers 8723/984, 7369/792 is

GCF of Numerators i.e. for 8723,7369 is 1

LCM of denominators i.e. for 984,792 is 32472.

Thus, GCF of Fractions is 1/32472.Finally, GCF of Fractions for 8723/984, 7369/792 is 1/32472.