Greatest Common Factor of 8719/848, 9921/2384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8719/848, 9921/2384

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 8719/848,9921/2384

Given fractions are 8719/848,9921/2384

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 8719,9921

Greatest Common Factor of Numerators i.e. GCF of 8719,9921 is 1 .

LCM of Denominators means LCM of 848,2384 as per the given fractions.

LCM of 848,2384 is 126352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8719,9921

GCF of Fractions 8719/848,9921/2384 is 1/126352

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

Greatest Common Factor of 8719,9921 By Matching Biggest Common Factor Method

Greatest Common Factor of 8719,9921 By Matching Biggest Common Factor Method

Factors of 8719

List of positive integer factors of 8719 that divides 8719 without a remainder.

1,8719

Factors of 9921

List of positive integer factors of 9921 that divides 9921 without a remainder.

1,3,3307,9921

Greatest Common Factor

We found the factors 8719,9921 . The biggest common factor number is the GCF number.
So the greatest common factor 8719,9921 is 1.

Lets's calculate LCM of 848,2384

2 848, 2384
2 424, 1192
2 212, 596
2 106, 298
53, 149

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 53 x 149 = 126352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126352

Therefore, the GCF of Fractions 8719/848,9921/2384 is 1/126352

Least Common Multiple of 848,2384 with GCF Formula

Least Common Multiple of 848,2384 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 848,2384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,2384) = 16

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

GCF(848,2384) x common factors =16 x 1 = 16

LCM(848,2384) = ( 848 × 2384 ) / 16

LCM(848,2384) = 2021632 / 16

LCM(848,2384) = 126352


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 8719/848, 9921/2384

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 8719/848, 9921/2384?

Answer: GCF of Numerators as per given numbers 8719/848, 9921/2384 is

GCF of Numerators i.e. for 8719,9921 is 1

LCM of denominators i.e. for 848,2384 is 126352.

Thus, GCF of Fractions is 1/126352.Finally, GCF of Fractions for 8719/848, 9921/2384 is 1/126352.