Greatest Common Factor of 8124/299, 5738/8464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8124/299, 5738/8464

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 8124/299,5738/8464

Given fractions are 8124/299,5738/8464

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 8124,5738

Greatest Common Factor of Numerators i.e. GCF of 8124,5738 is 2 .

LCM of Denominators means LCM of 299,8464 as per the given fractions.

LCM of 299,8464 is 110032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8124,5738

GCF of Fractions 8124/299,5738/8464 is 2/110032

2 8124, 5738
4062, 2869

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8124,5738 By Matching Biggest Common Factor Method

Greatest Common Factor of 8124,5738 By Matching Biggest Common Factor Method

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

Factors of 5738

List of positive integer factors of 5738 that divides 5738 without a remainder.

1,2,19,38,151,302,2869,5738

Greatest Common Factor

We found the factors 8124,5738 . The biggest common factor number is the GCF number.
So the greatest common factor 8124,5738 is 2.

Lets's calculate LCM of 299,8464

23 299, 8464
13, 368

∴ So the LCM of the given numbers is 23 x 13 x 368 = 110032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110032

Therefore, the GCF of Fractions 8124/299,5738/8464 is 2/110032

Least Common Multiple of 299,8464 with GCF Formula

Least Common Multiple of 299,8464 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 299,8464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,8464) = 23

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

GCF(299,8464) x common factors =23 x 1 = 23

LCM(299,8464) = ( 299 × 8464 ) / 23

LCM(299,8464) = 2530736 / 23

LCM(299,8464) = 110032


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 8124/299, 5738/8464

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 8124/299, 5738/8464?

Answer: GCF of Numerators as per given numbers 8124/299, 5738/8464 is

GCF of Numerators i.e. for 8124,5738 is 2

LCM of denominators i.e. for 299,8464 is 110032.

Thus, GCF of Fractions is 2/110032.Finally, GCF of Fractions for 8124/299, 5738/8464 is 2/110032.