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GCF of 2009/438, 9840/8739

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 2009/438, 9840/8739 i.e 41/1275894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2009/438, 9840/8739.

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 2009/438,9840/8739?

Given fractions are 2009/438,9840/8739

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 2009/438,9840/8739, numerators are 2009,9840

Denominators are 438,8739

The GCF of 2009,9840 is 41 .

LCM of 438,8739 is 1275894.

The greatest common factor of 2009/438,9840/8739 = [GCF of 2009,9840]/[LCM of 438,8739]= 41/1275894

Therefore, the GCF of 2009/438,9840/8739 is 41/1275894.

Greatest Common Factor of 2009,9840

To find the highest common factor of 2009,9840, we have to find the factors of both numbers and list the highest common factor.

The factors of 2009 are 1, 7, 41, 49, 287, 2009

The factors of 9840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 41, 48, 60, 80, 82, 120, 123, 164, 205, 240, 246, 328, 410, 492, 615, 656, 820, 984, 1230, 1640, 1968, 2460, 3280, 4920, 9840

The HCF of 2009,9840 is 41.

Lets's calculate GCF of 2009,9840

Greatest Common Factor (GCF) of 2009,9840 By Common Division

41 2009, 9840
49, 240

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 2009,9840 By Matching Biggest Common Factor Method

Greatest Common Factor of 2009,9840 By Matching Biggest Common Factor Method

Now, list down the factors of 2009

:

1,7,41,49,287,2009

Now, list down the factors of 9840

:

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,41,48,60,80,82,120,123,164,205,240,246,328,410,492,615,656,820,984,1230,1640,1968,2460,3280,4920,9840

Greatest Common Factor

We found the factors 2009,9840 . The biggest common factor number is the GCF number.
So the greatest common factor 2009,9840 is 41.


Lets's calculate LCM of 438,8739

Lowest Common Multiple of 438,8739 using Common Division

3 438, 8739
146, 2913

∴ So the LCM of the given numbers is 3 x 146 x 2913 = 1275894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/1275894

Therefore, the GCF of Fractions 2009/438,9840/8739 is 41/1275894

Least Common Multiple of 438,8739 with GCF Formula

Least Common Multiple of 438,8739 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 438,8739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,8739) = 3

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

GCF(438,8739) x common factors =3 x 1 = 3

LCM(438,8739) = ( 438 × 8739 ) / 3

LCM(438,8739) = 3827682 / 3

LCM(438,8739) = 1275894


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2009/438, 9840/8739

1. What is the HCF of 2009,9840?

The HCF of 2009,9840 is 41

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 2009/438, 9840/8739?

Answer: GCF of Numerators as per given numbers 2009/438, 9840/8739 is

GCF of Numerators i.e. for 2009,9840 is 41

LCM of denominators i.e. for 438,8739 is 1275894.

Thus, GCF of Fractions is 41/1275894.Finally, GCF of Fractions for 2009/438, 9840/8739 is 41/1275894.