Greatest Common Factor of 168/33, 6600/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 168/33, 6600/632

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 168/33,6600/632

Given fractions are 168/33,6600/632

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 168,6600

Greatest Common Factor of Numerators i.e. GCF of 168,6600 is 24 .

LCM of Denominators means LCM of 33,632 as per the given fractions.

LCM of 33,632 is 20856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 168,6600

GCF of Fractions 168/33,6600/632 is 24/20856

2 168, 6600
2 84, 3300
2 42, 1650
3 21, 825
7, 275

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 168,6600 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,6600 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 6600

List of positive integer factors of 6600 that divides 6600 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600

Greatest Common Factor

We found the factors 168,6600 . The biggest common factor number is the GCF number.
So the greatest common factor 168,6600 is 24.

Lets's calculate LCM of 33,632

Given numbers has no common factors except 1. So, there LCM is their product i.e 20856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/20856

Therefore, the GCF of Fractions 168/33,6600/632 is 24/20856

Least Common Multiple of 33,632 with GCF Formula

Least Common Multiple of 33,632 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 33,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,632) = 1

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

GCF(33,632) x common factors =1 x 1 = 1

LCM(33,632) = ( 33 × 632 ) / 1

LCM(33,632) = 20856 / 1

LCM(33,632) = 20856


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 168/33, 6600/632

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 168/33, 6600/632?

Answer: GCF of Numerators as per given numbers 168/33, 6600/632 is

GCF of Numerators i.e. for 168,6600 is 24

LCM of denominators i.e. for 33,632 is 20856.

Thus, GCF of Fractions is 24/20856.Finally, GCF of Fractions for 168/33, 6600/632 is 24/20856.