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GCF of 6684/282, 9495/2328

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 6684/282, 9495/2328 i.e 3/109416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6684/282, 9495/2328.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6684/282,9495/2328?

Given fractions are 6684/282,9495/2328

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6684/282,9495/2328, numerators are 6684,9495

Denominators are 282,2328

The GCF of 6684,9495 is 3 .

LCM of 282,2328 is 109416.

The greatest common factor of 6684/282,9495/2328 = [GCF of 6684,9495]/[LCM of 282,2328]= 3/109416

Therefore, the GCF of 6684/282,9495/2328 is 3/109416.

Greatest Common Factor of 6684,9495

To find the highest common factor of 6684,9495, we have to find the factors of both numbers and list the highest common factor.

The factors of 6684 are 1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684

The factors of 9495 are 1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495

The HCF of 6684,9495 is 3.

Lets's calculate GCF of 6684,9495

Greatest Common Factor (GCF) of 6684,9495 By Common Division

3 6684, 9495
2228, 3165

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

Greatest Common Factor of 6684,9495 By Matching Biggest Common Factor Method

Greatest Common Factor of 6684,9495 By Matching Biggest Common Factor Method

Now, list down the factors of 6684

:

1,2,3,4,6,12,557,1114,1671,2228,3342,6684

Now, list down the factors of 9495

:

1,3,5,9,15,45,211,633,1055,1899,3165,9495

Greatest Common Factor

We found the factors 6684,9495 . The biggest common factor number is the GCF number.
So the greatest common factor 6684,9495 is 3.


Lets's calculate LCM of 282,2328

Lowest Common Multiple of 282,2328 using Common Division

2 282, 2328
3 141, 1164
47, 388

∴ So the LCM of the given numbers is 2 x 3 x 47 x 388 = 109416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/109416

Therefore, the GCF of Fractions 6684/282,9495/2328 is 3/109416

Least Common Multiple of 282,2328 with GCF Formula

Least Common Multiple of 282,2328 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 282,2328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,2328) = 6

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

GCF(282,2328) x common factors =6 x 1 = 6

LCM(282,2328) = ( 282 × 2328 ) / 6

LCM(282,2328) = 656496 / 6

LCM(282,2328) = 109416


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6684/282, 9495/2328

1. What is the HCF of 6684,9495?

The HCF of 6684,9495 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 6684/282, 9495/2328?

Answer: GCF of Numerators as per given numbers 6684/282, 9495/2328 is

GCF of Numerators i.e. for 6684,9495 is 3

LCM of denominators i.e. for 282,2328 is 109416.

Thus, GCF of Fractions is 3/109416.Finally, GCF of Fractions for 6684/282, 9495/2328 is 3/109416.