Greatest Common Factor of 5133/345, 4854/9314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5133/345, 4854/9314

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 5133/345,4854/9314

Given fractions are 5133/345,4854/9314

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 5133,4854

Greatest Common Factor of Numerators i.e. GCF of 5133,4854 is 3 .

LCM of Denominators means LCM of 345,9314 as per the given fractions.

LCM of 345,9314 is 3213330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5133,4854

GCF of Fractions 5133/345,4854/9314 is 3/3213330

3 5133, 4854
1711, 1618

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5133,4854 By Matching Biggest Common Factor Method

Greatest Common Factor of 5133,4854 By Matching Biggest Common Factor Method

Factors of 5133

List of positive integer factors of 5133 that divides 5133 without a remainder.

1,3,29,59,87,177,1711,5133

Factors of 4854

List of positive integer factors of 4854 that divides 4854 without a remainder.

1,2,3,6,809,1618,2427,4854

Greatest Common Factor

We found the factors 5133,4854 . The biggest common factor number is the GCF number.
So the greatest common factor 5133,4854 is 3.

Lets's calculate LCM of 345,9314

Given numbers has no common factors except 1. So, there LCM is their product i.e 3213330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3213330

Therefore, the GCF of Fractions 5133/345,4854/9314 is 3/3213330

Least Common Multiple of 345,9314 with GCF Formula

Least Common Multiple of 345,9314 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 345,9314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,9314) = 1

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

GCF(345,9314) x common factors =1 x 1 = 1

LCM(345,9314) = ( 345 × 9314 ) / 1

LCM(345,9314) = 3213330 / 1

LCM(345,9314) = 3213330


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 5133/345, 4854/9314

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 5133/345, 4854/9314?

Answer: GCF of Numerators as per given numbers 5133/345, 4854/9314 is

GCF of Numerators i.e. for 5133,4854 is 3

LCM of denominators i.e. for 345,9314 is 3213330.

Thus, GCF of Fractions is 3/3213330.Finally, GCF of Fractions for 5133/345, 4854/9314 is 3/3213330.