Greatest Common Factor of 7333/299, 3877/1966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7333/299, 3877/1966

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 7333/299,3877/1966

Given fractions are 7333/299,3877/1966

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 7333,3877

Greatest Common Factor of Numerators i.e. GCF of 7333,3877 is 1 .

LCM of Denominators means LCM of 299,1966 as per the given fractions.

LCM of 299,1966 is 587834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7333,3877

GCF of Fractions 7333/299,3877/1966 is 1/587834

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

Greatest Common Factor of 7333,3877 By Matching Biggest Common Factor Method

Greatest Common Factor of 7333,3877 By Matching Biggest Common Factor Method

Factors of 7333

List of positive integer factors of 7333 that divides 7333 without a remainder.

1,7333

Factors of 3877

List of positive integer factors of 3877 that divides 3877 without a remainder.

1,3877

Greatest Common Factor

We found the factors 7333,3877 . The biggest common factor number is the GCF number.
So the greatest common factor 7333,3877 is 1.

Lets's calculate LCM of 299,1966

Given numbers has no common factors except 1. So, there LCM is their product i.e 587834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/587834

Therefore, the GCF of Fractions 7333/299,3877/1966 is 1/587834

Least Common Multiple of 299,1966 with GCF Formula

Least Common Multiple of 299,1966 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 299,1966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,1966) = 1

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

GCF(299,1966) x common factors =1 x 1 = 1

LCM(299,1966) = ( 299 × 1966 ) / 1

LCM(299,1966) = 587834 / 1

LCM(299,1966) = 587834


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 7333/299, 3877/1966

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 7333/299, 3877/1966?

Answer: GCF of Numerators as per given numbers 7333/299, 3877/1966 is

GCF of Numerators i.e. for 7333,3877 is 1

LCM of denominators i.e. for 299,1966 is 587834.

Thus, GCF of Fractions is 1/587834.Finally, GCF of Fractions for 7333/299, 3877/1966 is 1/587834.