Greatest Common Factor of 4302/727, 5529/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4302/727, 5529/466

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 4302/727,5529/466

Given fractions are 4302/727,5529/466

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 4302,5529

Greatest Common Factor of Numerators i.e. GCF of 4302,5529 is 3 .

LCM of Denominators means LCM of 727,466 as per the given fractions.

LCM of 727,466 is 338782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4302,5529

GCF of Fractions 4302/727,5529/466 is 3/338782

3 4302, 5529
1434, 1843

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

Greatest Common Factor of 4302,5529 By Matching Biggest Common Factor Method

Greatest Common Factor of 4302,5529 By Matching Biggest Common Factor Method

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

Factors of 5529

List of positive integer factors of 5529 that divides 5529 without a remainder.

1,3,19,57,97,291,1843,5529

Greatest Common Factor

We found the factors 4302,5529 . The biggest common factor number is the GCF number.
So the greatest common factor 4302,5529 is 3.

Lets's calculate LCM of 727,466

Given numbers has no common factors except 1. So, there LCM is their product i.e 338782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/338782

Therefore, the GCF of Fractions 4302/727,5529/466 is 3/338782

Least Common Multiple of 727,466 with GCF Formula

Least Common Multiple of 727,466 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 727,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,466) = 1

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

GCF(727,466) x common factors =1 x 1 = 1

LCM(727,466) = ( 727 × 466 ) / 1

LCM(727,466) = 338782 / 1

LCM(727,466) = 338782


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 4302/727, 5529/466

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 4302/727, 5529/466?

Answer: GCF of Numerators as per given numbers 4302/727, 5529/466 is

GCF of Numerators i.e. for 4302,5529 is 3

LCM of denominators i.e. for 727,466 is 338782.

Thus, GCF of Fractions is 3/338782.Finally, GCF of Fractions for 4302/727, 5529/466 is 3/338782.