Greatest Common Factor of 6930/683, 7866/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6930/683, 7866/811

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 6930/683,7866/811

Given fractions are 6930/683,7866/811

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 6930,7866

Greatest Common Factor of Numerators i.e. GCF of 6930,7866 is 18 .

LCM of Denominators means LCM of 683,811 as per the given fractions.

LCM of 683,811 is 553913 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6930,7866

GCF of Fractions 6930/683,7866/811 is 18/553913

2 6930, 7866
3 3465, 3933
3 1155, 1311
385, 437

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 6930,7866 By Matching Biggest Common Factor Method

Greatest Common Factor of 6930,7866 By Matching Biggest Common Factor Method

Factors of 6930

List of positive integer factors of 6930 that divides 6930 without a remainder.

1,2,3,5,6,7,9,10,11,14,15,18,21,22,30,33,35,42,45,55,63,66,70,77,90,99,105,110,126,154,165,198,210,231,315,330,385,462,495,630,693,770,990,1155,1386,2310,3465,6930

Factors of 7866

List of positive integer factors of 7866 that divides 7866 without a remainder.

1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866

Greatest Common Factor

We found the factors 6930,7866 . The biggest common factor number is the GCF number.
So the greatest common factor 6930,7866 is 18.

Lets's calculate LCM of 683,811

Given numbers has no common factors except 1. So, there LCM is their product i.e 553913

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/553913

Therefore, the GCF of Fractions 6930/683,7866/811 is 18/553913

Least Common Multiple of 683,811 with GCF Formula

Least Common Multiple of 683,811 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 683,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,811) = 1

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

GCF(683,811) x common factors =1 x 1 = 1

LCM(683,811) = ( 683 × 811 ) / 1

LCM(683,811) = 553913 / 1

LCM(683,811) = 553913


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 6930/683, 7866/811

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 6930/683, 7866/811?

Answer: GCF of Numerators as per given numbers 6930/683, 7866/811 is

GCF of Numerators i.e. for 6930,7866 is 18

LCM of denominators i.e. for 683,811 is 553913.

Thus, GCF of Fractions is 18/553913.Finally, GCF of Fractions for 6930/683, 7866/811 is 18/553913.