Greatest Common Factor of 3149/17, 7384/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3149/17, 7384/306

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 3149/17,7384/306

Given fractions are 3149/17,7384/306

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 3149,7384

Greatest Common Factor of Numerators i.e. GCF of 3149,7384 is 1 .

LCM of Denominators means LCM of 17,306 as per the given fractions.

LCM of 17,306 is 306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3149,7384

GCF of Fractions 3149/17,7384/306 is 1/306

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

Greatest Common Factor of 3149,7384 By Matching Biggest Common Factor Method

Greatest Common Factor of 3149,7384 By Matching Biggest Common Factor Method

Factors of 3149

List of positive integer factors of 3149 that divides 3149 without a remainder.

1,47,67,3149

Factors of 7384

List of positive integer factors of 7384 that divides 7384 without a remainder.

1,2,4,8,13,26,52,71,104,142,284,568,923,1846,3692,7384

Greatest Common Factor

We found the factors 3149,7384 . The biggest common factor number is the GCF number.
So the greatest common factor 3149,7384 is 1.

Lets's calculate LCM of 17,306

17 17, 306
1, 18

∴ So the LCM of the given numbers is 17 x 1 x 18 = 306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306

Therefore, the GCF of Fractions 3149/17,7384/306 is 1/306

Least Common Multiple of 17,306 with GCF Formula

Least Common Multiple of 17,306 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 17,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,306) = 17

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

GCF(17,306) x common factors =17 x 1 = 17

LCM(17,306) = ( 17 × 306 ) / 17

LCM(17,306) = 5202 / 17

LCM(17,306) = 306


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 3149/17, 7384/306

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 3149/17, 7384/306?

Answer: GCF of Numerators as per given numbers 3149/17, 7384/306 is

GCF of Numerators i.e. for 3149,7384 is 1

LCM of denominators i.e. for 17,306 is 306.

Thus, GCF of Fractions is 1/306.Finally, GCF of Fractions for 3149/17, 7384/306 is 1/306.