Greatest Common Factor of 3145/13, 3859/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3145/13, 3859/303

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 3145/13,3859/303

Given fractions are 3145/13,3859/303

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 3145,3859

Greatest Common Factor of Numerators i.e. GCF of 3145,3859 is 17 .

LCM of Denominators means LCM of 13,303 as per the given fractions.

LCM of 13,303 is 3939 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3145,3859

GCF of Fractions 3145/13,3859/303 is 17/3939

17 3145, 3859
185, 227

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 3145,3859 By Matching Biggest Common Factor Method

Greatest Common Factor of 3145,3859 By Matching Biggest Common Factor Method

Factors of 3145

List of positive integer factors of 3145 that divides 3145 without a remainder.

1,5,17,37,85,185,629,3145

Factors of 3859

List of positive integer factors of 3859 that divides 3859 without a remainder.

1,17,227,3859

Greatest Common Factor

We found the factors 3145,3859 . The biggest common factor number is the GCF number.
So the greatest common factor 3145,3859 is 17.

Lets's calculate LCM of 13,303

Given numbers has no common factors except 1. So, there LCM is their product i.e 3939

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3939

Therefore, the GCF of Fractions 3145/13,3859/303 is 17/3939

Least Common Multiple of 13,303 with GCF Formula

Least Common Multiple of 13,303 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 13,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,303) = 1

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

GCF(13,303) x common factors =1 x 1 = 1

LCM(13,303) = ( 13 × 303 ) / 1

LCM(13,303) = 3939 / 1

LCM(13,303) = 3939


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 3145/13, 3859/303

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 3145/13, 3859/303?

Answer: GCF of Numerators as per given numbers 3145/13, 3859/303 is

GCF of Numerators i.e. for 3145,3859 is 17

LCM of denominators i.e. for 13,303 is 3939.

Thus, GCF of Fractions is 17/3939.Finally, GCF of Fractions for 3145/13, 3859/303 is 17/3939.