Greatest Common Factor of 3099/82, 3344/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3099/82, 3344/683

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 3099/82,3344/683

Given fractions are 3099/82,3344/683

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 3099,3344

Greatest Common Factor of Numerators i.e. GCF of 3099,3344 is 1 .

LCM of Denominators means LCM of 82,683 as per the given fractions.

LCM of 82,683 is 56006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3099,3344

GCF of Fractions 3099/82,3344/683 is 1/56006

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3099,3344 By Matching Biggest Common Factor Method

Greatest Common Factor of 3099,3344 By Matching Biggest Common Factor Method

Factors of 3099

List of positive integer factors of 3099 that divides 3099 without a remainder.

1,3,1033,3099

Factors of 3344

List of positive integer factors of 3344 that divides 3344 without a remainder.

1,2,4,8,11,16,19,22,38,44,76,88,152,176,209,304,418,836,1672,3344

Greatest Common Factor

We found the factors 3099,3344 . The biggest common factor number is the GCF number.
So the greatest common factor 3099,3344 is 1.

Lets's calculate LCM of 82,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 56006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56006

Therefore, the GCF of Fractions 3099/82,3344/683 is 1/56006

Least Common Multiple of 82,683 with GCF Formula

Least Common Multiple of 82,683 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 82,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,683) = 1

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

GCF(82,683) x common factors =1 x 1 = 1

LCM(82,683) = ( 82 × 683 ) / 1

LCM(82,683) = 56006 / 1

LCM(82,683) = 56006


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 3099/82, 3344/683

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 3099/82, 3344/683?

Answer: GCF of Numerators as per given numbers 3099/82, 3344/683 is

GCF of Numerators i.e. for 3099,3344 is 1

LCM of denominators i.e. for 82,683 is 56006.

Thus, GCF of Fractions is 1/56006.Finally, GCF of Fractions for 3099/82, 3344/683 is 1/56006.