Greatest Common Factor of 5333/96, 2874/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5333/96, 2874/742

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 5333/96,2874/742

Given fractions are 5333/96,2874/742

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 5333,2874

Greatest Common Factor of Numerators i.e. GCF of 5333,2874 is 1 .

LCM of Denominators means LCM of 96,742 as per the given fractions.

LCM of 96,742 is 35616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5333,2874

GCF of Fractions 5333/96,2874/742 is 1/35616

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

Greatest Common Factor of 5333,2874 By Matching Biggest Common Factor Method

Greatest Common Factor of 5333,2874 By Matching Biggest Common Factor Method

Factors of 5333

List of positive integer factors of 5333 that divides 5333 without a remainder.

1,5333

Factors of 2874

List of positive integer factors of 2874 that divides 2874 without a remainder.

1,2,3,6,479,958,1437,2874

Greatest Common Factor

We found the factors 5333,2874 . The biggest common factor number is the GCF number.
So the greatest common factor 5333,2874 is 1.

Lets's calculate LCM of 96,742

2 96, 742
48, 371

∴ So the LCM of the given numbers is 2 x 48 x 371 = 35616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35616

Therefore, the GCF of Fractions 5333/96,2874/742 is 1/35616

Least Common Multiple of 96,742 with GCF Formula

Least Common Multiple of 96,742 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 96,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,742) = 2

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

GCF(96,742) x common factors =2 x 1 = 2

LCM(96,742) = ( 96 × 742 ) / 2

LCM(96,742) = 71232 / 2

LCM(96,742) = 35616


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 5333/96, 2874/742

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 5333/96, 2874/742?

Answer: GCF of Numerators as per given numbers 5333/96, 2874/742 is

GCF of Numerators i.e. for 5333,2874 is 1

LCM of denominators i.e. for 96,742 is 35616.

Thus, GCF of Fractions is 1/35616.Finally, GCF of Fractions for 5333/96, 2874/742 is 1/35616.