Greatest Common Factor of 34/75, 99/66, 330/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/75, 99/66, 330/880

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 34/75,99/66,330/880

Given fractions are 34/75,99/66,330/880

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 34,99,330

Greatest Common Factor of Numerators i.e. GCF of 34,99,330 is 1 .

LCM of Denominators means LCM of 75,66,880 as per the given fractions.

LCM of 75,66,880 is 13200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,99,330

GCF of Fractions 34/75,99/66,330/880 is 1/13200

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

Greatest Common Factor of 34,99,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,99,330 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 34,99,330 . The biggest common factor number is the GCF number.
So the greatest common factor 34,99,330 is 1.

Lets's calculate LCM of 75,66,880

2 75, 66, 880
3 75, 33, 440
5 25, 11, 440
11 5, 11, 88
5, 1, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 5 x 1 x 8 = 13200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13200

Therefore, the GCF of Fractions 34/75,99/66,330/880 is 1/13200

Least Common Multiple of 75,66,880 with GCF Formula

Least Common Multiple of 75,66,880 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 75,66,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,66,880) = 1

common factors(in case of two or more numbers have common factors) = 330

GCF(75,66,880) x common factors =1 x 330 = 330

LCM(75,66,880) = ( 75 × 66 × 880 ) / 330

LCM(75,66,880) = 4356000 / 330

LCM(75,66,880) = 13200


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 34/75, 99/66, 330/880

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 34/75, 99/66, 330/880?

Answer: GCF of Numerators as per given numbers 34/75, 99/66, 330/880 is

GCF of Numerators i.e. for 34,99,330 is 1

LCM of denominators i.e. for 75,66,880 is 13200.

Thus, GCF of Fractions is 1/13200.Finally, GCF of Fractions for 34/75, 99/66, 330/880 is 1/13200.