Greatest Common Factor of 602/33, 434/6624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 602/33, 434/6624

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 602/33,434/6624

Given fractions are 602/33,434/6624

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 602,434

Greatest Common Factor of Numerators i.e. GCF of 602,434 is 14 .

LCM of Denominators means LCM of 33,6624 as per the given fractions.

LCM of 33,6624 is 72864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 602,434

GCF of Fractions 602/33,434/6624 is 14/72864

2 602, 434
7 301, 217
43, 31

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 602,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,434 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 602,434 . The biggest common factor number is the GCF number.
So the greatest common factor 602,434 is 14.

Lets's calculate LCM of 33,6624

3 33, 6624
11, 2208

∴ So the LCM of the given numbers is 3 x 11 x 2208 = 72864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/72864

Therefore, the GCF of Fractions 602/33,434/6624 is 14/72864

Least Common Multiple of 33,6624 with GCF Formula

Least Common Multiple of 33,6624 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 33,6624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,6624) = 3

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

GCF(33,6624) x common factors =3 x 1 = 3

LCM(33,6624) = ( 33 × 6624 ) / 3

LCM(33,6624) = 218592 / 3

LCM(33,6624) = 72864


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 602/33, 434/6624

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 602/33, 434/6624?

Answer: GCF of Numerators as per given numbers 602/33, 434/6624 is

GCF of Numerators i.e. for 602,434 is 14

LCM of denominators i.e. for 33,6624 is 72864.

Thus, GCF of Fractions is 14/72864.Finally, GCF of Fractions for 602/33, 434/6624 is 14/72864.