Greatest Common Factor of 18/834, 297/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/834, 297/867

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 18/834,297/867

Given fractions are 18/834,297/867

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 18,297

Greatest Common Factor of Numerators i.e. GCF of 18,297 is 9 .

LCM of Denominators means LCM of 834,867 as per the given fractions.

LCM of 834,867 is 241026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,297

GCF of Fractions 18/834,297/867 is 9/241026

3 18, 297
3 6, 99
2, 33

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

Greatest Common Factor of 18,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,297 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 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 18,297 . The biggest common factor number is the GCF number.
So the greatest common factor 18,297 is 9.

Lets's calculate LCM of 834,867

3 834, 867
278, 289

∴ So the LCM of the given numbers is 3 x 278 x 289 = 241026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/241026

Therefore, the GCF of Fractions 18/834,297/867 is 9/241026

Least Common Multiple of 834,867 with GCF Formula

Least Common Multiple of 834,867 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 834,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,867) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(834,867) x common factors =3 x 1 = 3

LCM(834,867) = ( 834 × 867 ) / 3

LCM(834,867) = 723078 / 3

LCM(834,867) = 241026


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 18/834, 297/867

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 18/834, 297/867?

Answer: GCF of Numerators as per given numbers 18/834, 297/867 is

GCF of Numerators i.e. for 18,297 is 9

LCM of denominators i.e. for 834,867 is 241026.

Thus, GCF of Fractions is 9/241026.Finally, GCF of Fractions for 18/834, 297/867 is 9/241026.