Greatest Common Factor of 884/502, 1326/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 884/502, 1326/302

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 884/502,1326/302

Given fractions are 884/502,1326/302

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 884,1326

Greatest Common Factor of Numerators i.e. GCF of 884,1326 is 442 .

LCM of Denominators means LCM of 502,302 as per the given fractions.

LCM of 502,302 is 75802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 884,1326

GCF of Fractions 884/502,1326/302 is 442/75802

2 884, 1326
13 442, 663
17 34, 51
2, 3

∴ So the GCF of the given numbers is 2 x 13 x 17 = 442

Greatest Common Factor of 884,1326 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,1326 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

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 884,1326 . The biggest common factor number is the GCF number.
So the greatest common factor 884,1326 is 442.

Lets's calculate LCM of 502,302

2 502, 302
251, 151

∴ So the LCM of the given numbers is 2 x 251 x 151 = 75802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 442/75802

Therefore, the GCF of Fractions 884/502,1326/302 is 442/75802

Least Common Multiple of 502,302 with GCF Formula

Least Common Multiple of 502,302 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 502,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,302) = 2

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

GCF(502,302) x common factors =2 x 1 = 2

LCM(502,302) = ( 502 × 302 ) / 2

LCM(502,302) = 151604 / 2

LCM(502,302) = 75802


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 884/502, 1326/302

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 884/502, 1326/302?

Answer: GCF of Numerators as per given numbers 884/502, 1326/302 is

GCF of Numerators i.e. for 884,1326 is 442

LCM of denominators i.e. for 502,302 is 75802.

Thus, GCF of Fractions is 442/75802.Finally, GCF of Fractions for 884/502, 1326/302 is 442/75802.