Greatest Common Factor of 3376/99, 3092/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3376/99, 3092/389

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 3376/99,3092/389

Given fractions are 3376/99,3092/389

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 3376,3092

Greatest Common Factor of Numerators i.e. GCF of 3376,3092 is 4 .

LCM of Denominators means LCM of 99,389 as per the given fractions.

LCM of 99,389 is 38511 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3376,3092

GCF of Fractions 3376/99,3092/389 is 4/38511

2 3376, 3092
2 1688, 1546
844, 773

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3376,3092 By Matching Biggest Common Factor Method

Greatest Common Factor of 3376,3092 By Matching Biggest Common Factor Method

Factors of 3376

List of positive integer factors of 3376 that divides 3376 without a remainder.

1,2,4,8,16,211,422,844,1688,3376

Factors of 3092

List of positive integer factors of 3092 that divides 3092 without a remainder.

1,2,4,773,1546,3092

Greatest Common Factor

We found the factors 3376,3092 . The biggest common factor number is the GCF number.
So the greatest common factor 3376,3092 is 4.

Lets's calculate LCM of 99,389

Given numbers has no common factors except 1. So, there LCM is their product i.e 38511

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/38511

Therefore, the GCF of Fractions 3376/99,3092/389 is 4/38511

Least Common Multiple of 99,389 with GCF Formula

Least Common Multiple of 99,389 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 99,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,389) = 1

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

GCF(99,389) x common factors =1 x 1 = 1

LCM(99,389) = ( 99 × 389 ) / 1

LCM(99,389) = 38511 / 1

LCM(99,389) = 38511


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 3376/99, 3092/389

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 3376/99, 3092/389?

Answer: GCF of Numerators as per given numbers 3376/99, 3092/389 is

GCF of Numerators i.e. for 3376,3092 is 4

LCM of denominators i.e. for 99,389 is 38511.

Thus, GCF of Fractions is 4/38511.Finally, GCF of Fractions for 3376/99, 3092/389 is 4/38511.