Greatest Common Factor of 5814/717, 4734/5329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5814/717, 4734/5329

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 5814/717,4734/5329

Given fractions are 5814/717,4734/5329

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 5814,4734

Greatest Common Factor of Numerators i.e. GCF of 5814,4734 is 18 .

LCM of Denominators means LCM of 717,5329 as per the given fractions.

LCM of 717,5329 is 3820893 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5814,4734

GCF of Fractions 5814/717,4734/5329 is 18/3820893

2 5814, 4734
3 2907, 2367
3 969, 789
323, 263

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 5814,4734 By Matching Biggest Common Factor Method

Greatest Common Factor of 5814,4734 By Matching Biggest Common Factor Method

Factors of 5814

List of positive integer factors of 5814 that divides 5814 without a remainder.

1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814

Factors of 4734

List of positive integer factors of 4734 that divides 4734 without a remainder.

1,2,3,6,9,18,263,526,789,1578,2367,4734

Greatest Common Factor

We found the factors 5814,4734 . The biggest common factor number is the GCF number.
So the greatest common factor 5814,4734 is 18.

Lets's calculate LCM of 717,5329

Given numbers has no common factors except 1. So, there LCM is their product i.e 3820893

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/3820893

Therefore, the GCF of Fractions 5814/717,4734/5329 is 18/3820893

Least Common Multiple of 717,5329 with GCF Formula

Least Common Multiple of 717,5329 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 717,5329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,5329) = 1

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

GCF(717,5329) x common factors =1 x 1 = 1

LCM(717,5329) = ( 717 × 5329 ) / 1

LCM(717,5329) = 3820893 / 1

LCM(717,5329) = 3820893


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 5814/717, 4734/5329

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 5814/717, 4734/5329?

Answer: GCF of Numerators as per given numbers 5814/717, 4734/5329 is

GCF of Numerators i.e. for 5814,4734 is 18

LCM of denominators i.e. for 717,5329 is 3820893.

Thus, GCF of Fractions is 18/3820893.Finally, GCF of Fractions for 5814/717, 4734/5329 is 18/3820893.