Greatest Common Factor of 99/757, 429/135, 783/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/757, 429/135, 783/230

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 99/757,429/135,783/230

Given fractions are 99/757,429/135,783/230

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 99,429,783

Greatest Common Factor of Numerators i.e. GCF of 99,429,783 is 3 .

LCM of Denominators means LCM of 757,135,230 as per the given fractions.

LCM of 757,135,230 is 4700970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,429,783

GCF of Fractions 99/757,429/135,783/230 is 3/4700970

3 99, 429, 783
33, 143, 261

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

Greatest Common Factor of 99,429,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,429,783 By Matching Biggest Common Factor Method

Factors of 99

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

1,3,9,11,33,99

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 99,429,783 . The biggest common factor number is the GCF number.
So the greatest common factor 99,429,783 is 3.

Lets's calculate LCM of 757,135,230

5 757, 135, 230
757, 27, 46

∴ So the LCM of the given numbers is 5 x 757 x 27 x 46 = 4700970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4700970

Therefore, the GCF of Fractions 99/757,429/135,783/230 is 3/4700970

Least Common Multiple of 757,135,230 with GCF Formula

Least Common Multiple of 757,135,230 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 757,135,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,135,230) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(757,135,230) x common factors =1 x 5 = 5

LCM(757,135,230) = ( 757 × 135 × 230 ) / 5

LCM(757,135,230) = 23504850 / 5

LCM(757,135,230) = 4700970


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 99/757, 429/135, 783/230

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 99/757, 429/135, 783/230?

Answer: GCF of Numerators as per given numbers 99/757, 429/135, 783/230 is

GCF of Numerators i.e. for 99,429,783 is 3

LCM of denominators i.e. for 757,135,230 is 4700970.

Thus, GCF of Fractions is 3/4700970.Finally, GCF of Fractions for 99/757, 429/135, 783/230 is 3/4700970.