Greatest Common Factor of 6726/282, 9945/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6726/282, 9945/314

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 6726/282,9945/314

Given fractions are 6726/282,9945/314

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 6726,9945

Greatest Common Factor of Numerators i.e. GCF of 6726,9945 is 3 .

LCM of Denominators means LCM of 282,314 as per the given fractions.

LCM of 282,314 is 44274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6726,9945

GCF of Fractions 6726/282,9945/314 is 3/44274

3 6726, 9945
2242, 3315

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6726,9945 By Matching Biggest Common Factor Method

Greatest Common Factor of 6726,9945 By Matching Biggest Common Factor Method

Factors of 6726

List of positive integer factors of 6726 that divides 6726 without a remainder.

1,2,3,6,19,38,57,59,114,118,177,354,1121,2242,3363,6726

Factors of 9945

List of positive integer factors of 9945 that divides 9945 without a remainder.

1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945

Greatest Common Factor

We found the factors 6726,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 6726,9945 is 3.

Lets's calculate LCM of 282,314

2 282, 314
141, 157

∴ So the LCM of the given numbers is 2 x 141 x 157 = 44274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/44274

Therefore, the GCF of Fractions 6726/282,9945/314 is 3/44274

Least Common Multiple of 282,314 with GCF Formula

Least Common Multiple of 282,314 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 282,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,314) = 2

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

GCF(282,314) x common factors =2 x 1 = 2

LCM(282,314) = ( 282 × 314 ) / 2

LCM(282,314) = 88548 / 2

LCM(282,314) = 44274


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 6726/282, 9945/314

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 6726/282, 9945/314?

Answer: GCF of Numerators as per given numbers 6726/282, 9945/314 is

GCF of Numerators i.e. for 6726,9945 is 3

LCM of denominators i.e. for 282,314 is 44274.

Thus, GCF of Fractions is 3/44274.Finally, GCF of Fractions for 6726/282, 9945/314 is 3/44274.