Greatest Common Factor of 1119/810, 6786/3234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1119/810, 6786/3234

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 1119/810,6786/3234

Given fractions are 1119/810,6786/3234

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 1119,6786

Greatest Common Factor of Numerators i.e. GCF of 1119,6786 is 3 .

LCM of Denominators means LCM of 810,3234 as per the given fractions.

LCM of 810,3234 is 436590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1119,6786

GCF of Fractions 1119/810,6786/3234 is 3/436590

3 1119, 6786
373, 2262

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

Greatest Common Factor of 1119,6786 By Matching Biggest Common Factor Method

Greatest Common Factor of 1119,6786 By Matching Biggest Common Factor Method

Factors of 1119

List of positive integer factors of 1119 that divides 1119 without a remainder.

1,3,373,1119

Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786

Greatest Common Factor

We found the factors 1119,6786 . The biggest common factor number is the GCF number.
So the greatest common factor 1119,6786 is 3.

Lets's calculate LCM of 810,3234

2 810, 3234
3 405, 1617
135, 539

∴ So the LCM of the given numbers is 2 x 3 x 135 x 539 = 436590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/436590

Therefore, the GCF of Fractions 1119/810,6786/3234 is 3/436590

Least Common Multiple of 810,3234 with GCF Formula

Least Common Multiple of 810,3234 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 810,3234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,3234) = 6

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

GCF(810,3234) x common factors =6 x 1 = 6

LCM(810,3234) = ( 810 × 3234 ) / 6

LCM(810,3234) = 2619540 / 6

LCM(810,3234) = 436590


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 1119/810, 6786/3234

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 1119/810, 6786/3234?

Answer: GCF of Numerators as per given numbers 1119/810, 6786/3234 is

GCF of Numerators i.e. for 1119,6786 is 3

LCM of denominators i.e. for 810,3234 is 436590.

Thus, GCF of Fractions is 3/436590.Finally, GCF of Fractions for 1119/810, 6786/3234 is 3/436590.