Greatest Common Factor of 4434/459, 4509/3740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4434/459, 4509/3740

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 4434/459,4509/3740

Given fractions are 4434/459,4509/3740

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 4434,4509

Greatest Common Factor of Numerators i.e. GCF of 4434,4509 is 3 .

LCM of Denominators means LCM of 459,3740 as per the given fractions.

LCM of 459,3740 is 100980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4434,4509

GCF of Fractions 4434/459,4509/3740 is 3/100980

3 4434, 4509
1478, 1503

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

Greatest Common Factor of 4434,4509 By Matching Biggest Common Factor Method

Greatest Common Factor of 4434,4509 By Matching Biggest Common Factor Method

Factors of 4434

List of positive integer factors of 4434 that divides 4434 without a remainder.

1,2,3,6,739,1478,2217,4434

Factors of 4509

List of positive integer factors of 4509 that divides 4509 without a remainder.

1,3,9,27,167,501,1503,4509

Greatest Common Factor

We found the factors 4434,4509 . The biggest common factor number is the GCF number.
So the greatest common factor 4434,4509 is 3.

Lets's calculate LCM of 459,3740

17 459, 3740
27, 220

∴ So the LCM of the given numbers is 17 x 27 x 220 = 100980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/100980

Therefore, the GCF of Fractions 4434/459,4509/3740 is 3/100980

Least Common Multiple of 459,3740 with GCF Formula

Least Common Multiple of 459,3740 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 459,3740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,3740) = 17

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

GCF(459,3740) x common factors =17 x 1 = 17

LCM(459,3740) = ( 459 × 3740 ) / 17

LCM(459,3740) = 1716660 / 17

LCM(459,3740) = 100980


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 4434/459, 4509/3740

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 4434/459, 4509/3740?

Answer: GCF of Numerators as per given numbers 4434/459, 4509/3740 is

GCF of Numerators i.e. for 4434,4509 is 3

LCM of denominators i.e. for 459,3740 is 100980.

Thus, GCF of Fractions is 3/100980.Finally, GCF of Fractions for 4434/459, 4509/3740 is 3/100980.