Greatest Common Factor of 45/96, 18/99, 522/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/96, 18/99, 522/341

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 45/96,18/99,522/341

Given fractions are 45/96,18/99,522/341

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 45,18,522

Greatest Common Factor of Numerators i.e. GCF of 45,18,522 is 9 .

LCM of Denominators means LCM of 96,99,341 as per the given fractions.

LCM of 96,99,341 is 98208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,18,522

GCF of Fractions 45/96,18/99,522/341 is 9/98208

3 45, 18, 522
3 15, 6, 174
5, 2, 58

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 45,18,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,18,522 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 45,18,522 . The biggest common factor number is the GCF number.
So the greatest common factor 45,18,522 is 9.

Lets's calculate LCM of 96,99,341

3 96, 99, 341
11 32, 33, 341
32, 3, 31

∴ So the LCM of the given numbers is 3 x 11 x 32 x 3 x 31 = 98208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/98208

Therefore, the GCF of Fractions 45/96,18/99,522/341 is 9/98208

Least Common Multiple of 96,99,341 with GCF Formula

Least Common Multiple of 96,99,341 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 96,99,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,99,341) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(96,99,341) x common factors =1 x 33 = 33

LCM(96,99,341) = ( 96 × 99 × 341 ) / 33

LCM(96,99,341) = 3240864 / 33

LCM(96,99,341) = 98208


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 45/96, 18/99, 522/341

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 45/96, 18/99, 522/341?

Answer: GCF of Numerators as per given numbers 45/96, 18/99, 522/341 is

GCF of Numerators i.e. for 45,18,522 is 9

LCM of denominators i.e. for 96,99,341 is 98208.

Thus, GCF of Fractions is 9/98208.Finally, GCF of Fractions for 45/96, 18/99, 522/341 is 9/98208.