Greatest Common Factor of 6/96, 69/68, 33/255, 226/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/96, 69/68, 33/255, 226/800

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 6/96,69/68,33/255,226/800

Given fractions are 6/96,69/68,33/255,226/800

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 6,69,33,226

Greatest Common Factor of Numerators i.e. GCF of 6,69,33,226 is 1 .

LCM of Denominators means LCM of 96,68,255,800 as per the given fractions.

LCM of 96,68,255,800 is 40800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,69,33,226

GCF of Fractions 6/96,69/68,33/255,226/800 is 1/40800

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6,69,33,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,69,33,226 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 6,69,33,226 . The biggest common factor number is the GCF number.
So the greatest common factor 6,69,33,226 is 1.

Lets's calculate LCM of 96,68,255,800

2 96, 68, 255, 800
2 48, 34, 255, 400
2 24, 17, 255, 200
2 12, 17, 255, 100
2 6, 17, 255, 50
3 3, 17, 255, 25
5 1, 17, 85, 25
17 1, 17, 17, 5
1, 1, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 1 x 1 x 1 x 5 = 40800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40800

Therefore, the GCF of Fractions 6/96,69/68,33/255,226/800 is 1/40800

Least Common Multiple of 96,68,255,800 with GCF Formula

Least Common Multiple of 96,68,255,800 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 96,68,255,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,68,255,800) = 1

common factors(in case of two or more numbers have common factors) = 32640

GCF(96,68,255,800) x common factors =1 x 32640 = 32640

LCM(96,68,255,800) = ( 96 × 68 × 255 × 800 ) / 32640

LCM(96,68,255,800) = 1331712000 / 32640

LCM(96,68,255,800) = 40800


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 6/96, 69/68, 33/255, 226/800

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 6/96, 69/68, 33/255, 226/800?

Answer: GCF of Numerators as per given numbers 6/96, 69/68, 33/255, 226/800 is

GCF of Numerators i.e. for 6,69,33,226 is 1

LCM of denominators i.e. for 96,68,255,800 is 40800.

Thus, GCF of Fractions is 1/40800.Finally, GCF of Fractions for 6/96, 69/68, 33/255, 226/800 is 1/40800.