Greatest Common Factor of 99/523, 181/240, 146/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/523, 181/240, 146/435

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 99/523,181/240,146/435

Given fractions are 99/523,181/240,146/435

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 99,181,146

Greatest Common Factor of Numerators i.e. GCF of 99,181,146 is 1 .

LCM of Denominators means LCM of 523,240,435 as per the given fractions.

LCM of 523,240,435 is 3640080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,181,146

GCF of Fractions 99/523,181/240,146/435 is 1/3640080

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

Greatest Common Factor of 99,181,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,181,146 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 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 99,181,146 . The biggest common factor number is the GCF number.
So the greatest common factor 99,181,146 is 1.

Lets's calculate LCM of 523,240,435

3 523, 240, 435
5 523, 80, 145
523, 16, 29

∴ So the LCM of the given numbers is 3 x 5 x 523 x 16 x 29 = 3640080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3640080

Therefore, the GCF of Fractions 99/523,181/240,146/435 is 1/3640080

Least Common Multiple of 523,240,435 with GCF Formula

Least Common Multiple of 523,240,435 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 523,240,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,240,435) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(523,240,435) x common factors =1 x 15 = 15

LCM(523,240,435) = ( 523 × 240 × 435 ) / 15

LCM(523,240,435) = 54601200 / 15

LCM(523,240,435) = 3640080


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 99/523, 181/240, 146/435

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 99/523, 181/240, 146/435?

Answer: GCF of Numerators as per given numbers 99/523, 181/240, 146/435 is

GCF of Numerators i.e. for 99,181,146 is 1

LCM of denominators i.e. for 523,240,435 is 3640080.

Thus, GCF of Fractions is 1/3640080.Finally, GCF of Fractions for 99/523, 181/240, 146/435 is 1/3640080.