Greatest Common Factor of 22/30, 99/12, 242/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/30, 99/12, 242/585

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 22/30,99/12,242/585

Given fractions are 22/30,99/12,242/585

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 22,99,242

Greatest Common Factor of Numerators i.e. GCF of 22,99,242 is 11 .

LCM of Denominators means LCM of 30,12,585 as per the given fractions.

LCM of 30,12,585 is 2340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,99,242

GCF of Fractions 22/30,99/12,242/585 is 11/2340

11 22, 99, 242
2, 9, 22

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 22,99,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,99,242 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 99

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

1,3,9,11,33,99

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 22,99,242 . The biggest common factor number is the GCF number.
So the greatest common factor 22,99,242 is 11.

Lets's calculate LCM of 30,12,585

2 30, 12, 585
3 15, 6, 585
5 5, 2, 195
1, 2, 39

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 2 x 39 = 2340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2340

Therefore, the GCF of Fractions 22/30,99/12,242/585 is 11/2340

Least Common Multiple of 30,12,585 with GCF Formula

Least Common Multiple of 30,12,585 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 30,12,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,12,585) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(30,12,585) x common factors =3 x 30 = 90

LCM(30,12,585) = ( 30 × 12 × 585 ) / 90

LCM(30,12,585) = 210600 / 90

LCM(30,12,585) = 2340


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 22/30, 99/12, 242/585

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 22/30, 99/12, 242/585?

Answer: GCF of Numerators as per given numbers 22/30, 99/12, 242/585 is

GCF of Numerators i.e. for 22,99,242 is 11

LCM of denominators i.e. for 30,12,585 is 2340.

Thus, GCF of Fractions is 11/2340.Finally, GCF of Fractions for 22/30, 99/12, 242/585 is 11/2340.