Greatest Common Factor of 3041/299, 9273/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3041/299, 9273/129

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 3041/299,9273/129

Given fractions are 3041/299,9273/129

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 3041,9273

Greatest Common Factor of Numerators i.e. GCF of 3041,9273 is 1 .

LCM of Denominators means LCM of 299,129 as per the given fractions.

LCM of 299,129 is 38571 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3041,9273

GCF of Fractions 3041/299,9273/129 is 1/38571

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

Greatest Common Factor of 3041,9273 By Matching Biggest Common Factor Method

Greatest Common Factor of 3041,9273 By Matching Biggest Common Factor Method

Factors of 3041

List of positive integer factors of 3041 that divides 3041 without a remainder.

1,3041

Factors of 9273

List of positive integer factors of 9273 that divides 9273 without a remainder.

1,3,11,33,281,843,3091,9273

Greatest Common Factor

We found the factors 3041,9273 . The biggest common factor number is the GCF number.
So the greatest common factor 3041,9273 is 1.

Lets's calculate LCM of 299,129

Given numbers has no common factors except 1. So, there LCM is their product i.e 38571

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38571

Therefore, the GCF of Fractions 3041/299,9273/129 is 1/38571

Least Common Multiple of 299,129 with GCF Formula

Least Common Multiple of 299,129 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 299,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,129) = 1

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

GCF(299,129) x common factors =1 x 1 = 1

LCM(299,129) = ( 299 × 129 ) / 1

LCM(299,129) = 38571 / 1

LCM(299,129) = 38571


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 3041/299, 9273/129

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 3041/299, 9273/129?

Answer: GCF of Numerators as per given numbers 3041/299, 9273/129 is

GCF of Numerators i.e. for 3041,9273 is 1

LCM of denominators i.e. for 299,129 is 38571.

Thus, GCF of Fractions is 1/38571.Finally, GCF of Fractions for 3041/299, 9273/129 is 1/38571.