Greatest Common Factor of 7333/232, 3317/6206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7333/232, 3317/6206

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 7333/232,3317/6206

Given fractions are 7333/232,3317/6206

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 7333,3317

Greatest Common Factor of Numerators i.e. GCF of 7333,3317 is 1 .

LCM of Denominators means LCM of 232,6206 as per the given fractions.

LCM of 232,6206 is 24824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7333,3317

GCF of Fractions 7333/232,3317/6206 is 1/24824

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

Greatest Common Factor of 7333,3317 By Matching Biggest Common Factor Method

Greatest Common Factor of 7333,3317 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 3317

List of positive integer factors of 3317 that divides 3317 without a remainder.

1,31,107,3317

Greatest Common Factor

We found the factors 7333,3317 . The biggest common factor number is the GCF number.
So the greatest common factor 7333,3317 is 1.


Lets's calculate LCM of 232,6206

2 232, 6206
29 116, 3103
4, 107

∴ So the LCM of the given numbers is 2 x 29 x 4 x 107 = 24824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24824

Therefore, the GCF of Fractions 7333/232,3317/6206 is 1/24824

Least Common Multiple of 232,6206 with GCF Formula

Least Common Multiple of 232,6206 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 232,6206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,6206) = 58

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

GCF(232,6206) x common factors =58 x 1 = 58

LCM(232,6206) = ( 232 × 6206 ) / 58

LCM(232,6206) = 1439792 / 58

LCM(232,6206) = 24824


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7333/232, 3317/6206

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 7333/232, 3317/6206?

Answer: GCF of Numerators as per given numbers 7333/232, 3317/6206 is

GCF of Numerators i.e. for 7333,3317 is 1

LCM of denominators i.e. for 232,6206 is 24824.

Thus, GCF of Fractions is 1/24824.Finally, GCF of Fractions for 7333/232, 3317/6206 is 1/24824.