Greatest Common Factor of 18/996, 18/775, 912/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/996, 18/775, 912/321

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 18/996,18/775,912/321

Given fractions are 18/996,18/775,912/321

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 18,18,912

Greatest Common Factor of Numerators i.e. GCF of 18,18,912 is 6 .

LCM of Denominators means LCM of 996,775,321 as per the given fractions.

LCM of 996,775,321 is 82593300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,18,912

GCF of Fractions 18/996,18/775,912/321 is 6/82593300

2 18, 18, 912
3 9, 9, 456
3, 3, 152

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 18,18,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,18,912 By Matching Biggest Common Factor Method

Factors of 18

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

1,2,3,6,9,18

Factors of 18

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

1,2,3,6,9,18

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 18,18,912 . The biggest common factor number is the GCF number.
So the greatest common factor 18,18,912 is 6.

Lets's calculate LCM of 996,775,321

3 996, 775, 321
332, 775, 107

∴ So the LCM of the given numbers is 3 x 332 x 775 x 107 = 82593300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/82593300

Therefore, the GCF of Fractions 18/996,18/775,912/321 is 6/82593300

Least Common Multiple of 996,775,321 with GCF Formula

Least Common Multiple of 996,775,321 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 996,775,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,775,321) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(996,775,321) x common factors =1 x 3 = 3

LCM(996,775,321) = ( 996 × 775 × 321 ) / 3

LCM(996,775,321) = 247779900 / 3

LCM(996,775,321) = 82593300


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 18/996, 18/775, 912/321

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 18/996, 18/775, 912/321?

Answer: GCF of Numerators as per given numbers 18/996, 18/775, 912/321 is

GCF of Numerators i.e. for 18,18,912 is 6

LCM of denominators i.e. for 996,775,321 is 82593300.

Thus, GCF of Fractions is 6/82593300.Finally, GCF of Fractions for 18/996, 18/775, 912/321 is 6/82593300.