How to Find GCF of 9010/840, 9318/8394?

GCF of 9010/840, 9318/8394

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 9010/840, 9318/8394 i.e 2/1175160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9010/840, 9318/8394.

Enter two or more fractions separated by "commas"

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

What is the GCF of 9010/840,9318/8394?

Given fractions are 9010/840,9318/8394

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 9010/840,9318/8394, numerators are 9010,9318

Denominators are 840,8394

The GCF of 9010,9318 is 2 .

LCM of 840,8394 is 1175160.

The greatest common factor of 9010/840,9318/8394 = [GCF of 9010,9318]/[LCM of 840,8394]= 2/1175160

Therefore, the GCF of 9010/840,9318/8394 is 2/1175160.

Greatest Common Factor of 9010,9318

To find the highest common factor of 9010,9318, we have to find the factors of both numbers and list the highest common factor.

The factors of 9010 are 1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010

The factors of 9318 are 1, 2, 3, 6, 1553, 3106, 4659, 9318

The HCF of 9010,9318 is 2.

Lets's calculate GCF of 9010,9318

Greatest Common Factor (GCF) of 9010,9318 By Common Division

2	9010, 9318
	4505, 4659

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9010,9318 By Matching Biggest Common Factor Method

Now, list down the factors of 9010

1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010

Now, list down the factors of 9318

1,2,3,6,1553,3106,4659,9318

Greatest Common Factor

We found the factors 9010,9318 . The biggest common factor number is the GCF number.
So the greatest common factor 9010,9318 is 2.

Lets's calculate LCM of 840,8394

Lowest Common Multiple of 840,8394 using Common Division

2	840, 8394
3	420, 4197
	140, 1399

∴ So the LCM of the given numbers is 2 x 3 x 140 x 1399 = 1175160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1175160

Therefore, the GCF of Fractions 9010/840,9318/8394 is 2/1175160

Least Common Multiple of 840,8394 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 840,8394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,8394) = 6

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

GCF(840,8394) x common factors =6 x 1 = 6

LCM(840,8394) = ( 840 × 8394 ) / 6

LCM(840,8394) = 7050960 / 6

LCM(840,8394) = 1175160

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9010/840, 9318/8394

1. What is the HCF of 9010,9318?

The HCF of 9010,9318 is 2

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 9010/840, 9318/8394?

Answer: GCF of Numerators as per given numbers 9010/840, 9318/8394 is

GCF of Numerators i.e. for 9010,9318 is 2

LCM of denominators i.e. for 840,8394 is 1175160.

Thus, GCF of Fractions is 2/1175160.Finally, GCF of Fractions for 9010/840, 9318/8394 is 2/1175160.