Greatest Common Factor of 5427/717, 4302/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 5427/717, 4302/799

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 5427/717,4302/799

Given fractions are 5427/717,4302/799

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 5427,4302

Greatest Common Factor of Numerators i.e. GCF of 5427,4302 is 9 .

LCM of Denominators means LCM of 717,799 as per the given fractions.

LCM of 717,799 is 572883 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5427,4302

GCF of Fractions 5427/717,4302/799 is 9/572883

3 5427, 4302
3 1809, 1434
603, 478

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5427,4302 By Matching Biggest Common Factor Method

Greatest Common Factor of 5427,4302 By Matching Biggest Common Factor Method

Factors of 5427

List of positive integer factors of 5427 that divides 5427 without a remainder.

1,3,9,27,67,81,201,603,1809,5427

Factors of 4302

List of positive integer factors of 4302 that divides 4302 without a remainder.

1,2,3,6,9,18,239,478,717,1434,2151,4302

Greatest Common Factor

We found the factors 5427,4302 . The biggest common factor number is the GCF number.
So the greatest common factor 5427,4302 is 9.


Lets's calculate LCM of 717,799

Given numbers has no common factors except 1. So, there LCM is their product i.e 572883

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/572883

Therefore, the GCF of Fractions 5427/717,4302/799 is 9/572883

Least Common Multiple of 717,799 with GCF Formula

Least Common Multiple of 717,799 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 717,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,799) = 1

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

GCF(717,799) x common factors =1 x 1 = 1

LCM(717,799) = ( 717 × 799 ) / 1

LCM(717,799) = 572883 / 1

LCM(717,799) = 572883


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 5427/717, 4302/799

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 5427/717, 4302/799?

Answer: GCF of Numerators as per given numbers 5427/717, 4302/799 is

GCF of Numerators i.e. for 5427,4302 is 9

LCM of denominators i.e. for 717,799 is 572883.

Thus, GCF of Fractions is 9/572883.Finally, GCF of Fractions for 5427/717, 4302/799 is 9/572883.