Greatest Common Factor of 3247/299, 1326/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3247/299, 1326/897

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 3247/299,1326/897

Given fractions are 3247/299,1326/897

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 3247,1326

Greatest Common Factor of Numerators i.e. GCF of 3247,1326 is 17 .

LCM of Denominators means LCM of 299,897 as per the given fractions.

LCM of 299,897 is 897 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3247,1326

GCF of Fractions 3247/299,1326/897 is 17/897

17 3247, 1326
191, 78

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

Greatest Common Factor of 3247,1326 By Matching Biggest Common Factor Method

Greatest Common Factor of 3247,1326 By Matching Biggest Common Factor Method

Factors of 3247

List of positive integer factors of 3247 that divides 3247 without a remainder.

1,17,191,3247

Factors of 1326

List of positive integer factors of 1326 that divides 1326 without a remainder.

1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326

Greatest Common Factor

We found the factors 3247,1326 . The biggest common factor number is the GCF number.
So the greatest common factor 3247,1326 is 17.

Lets's calculate LCM of 299,897

13 299, 897
23 23, 69
1, 3

∴ So the LCM of the given numbers is 13 x 23 x 1 x 3 = 897

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/897

Therefore, the GCF of Fractions 3247/299,1326/897 is 17/897

Least Common Multiple of 299,897 with GCF Formula

Least Common Multiple of 299,897 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 299,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,897) = 299

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

GCF(299,897) x common factors =299 x 1 = 299

LCM(299,897) = ( 299 × 897 ) / 299

LCM(299,897) = 268203 / 299

LCM(299,897) = 897


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 3247/299, 1326/897

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 3247/299, 1326/897?

Answer: GCF of Numerators as per given numbers 3247/299, 1326/897 is

GCF of Numerators i.e. for 3247,1326 is 17

LCM of denominators i.e. for 299,897 is 897.

Thus, GCF of Fractions is 17/897.Finally, GCF of Fractions for 3247/299, 1326/897 is 17/897.