How to Find GCF of 9373/81, 1846/344?

GCF of 9373/81, 1846/344

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 9373/81, 1846/344 i.e 13/27864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9373/81, 1846/344.

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 9373/81,1846/344?

Given fractions are 9373/81,1846/344

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 9373/81,1846/344, numerators are 9373,1846

Denominators are 81,344

The GCF of 9373,1846 is 13 .

LCM of 81,344 is 27864.

The greatest common factor of 9373/81,1846/344 = [GCF of 9373,1846]/[LCM of 81,344]= 13/27864

Therefore, the GCF of 9373/81,1846/344 is 13/27864.

Greatest Common Factor of 9373,1846

To find the highest common factor of 9373,1846, we have to find the factors of both numbers and list the highest common factor.

The factors of 9373 are 1, 7, 13, 91, 103, 721, 1339, 9373

The factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846

The HCF of 9373,1846 is 13.

Lets's calculate GCF of 9373,1846

Greatest Common Factor (GCF) of 9373,1846 By Common Division

13	9373, 1846
	721, 142

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9373,1846 By Matching Biggest Common Factor Method

Now, list down the factors of 9373

1,7,13,91,103,721,1339,9373

Now, list down the factors of 1846

1,2,13,26,71,142,923,1846

Greatest Common Factor

We found the factors 9373,1846 . The biggest common factor number is the GCF number.
So the greatest common factor 9373,1846 is 13.

Lets's calculate LCM of 81,344

Lowest Common Multiple of 81,344 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 27864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/27864

Therefore, the GCF of Fractions 9373/81,1846/344 is 13/27864

Least Common Multiple of 81,344 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 81,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,344) = 1

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

GCF(81,344) x common factors =1 x 1 = 1

LCM(81,344) = ( 81 × 344 ) / 1

LCM(81,344) = 27864 / 1

LCM(81,344) = 27864

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FAQs on GCF of Fractions of 9373/81, 1846/344

1. What is the HCF of 9373,1846?

The HCF of 9373,1846 is 13

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 9373/81, 1846/344?

Answer: GCF of Numerators as per given numbers 9373/81, 1846/344 is

GCF of Numerators i.e. for 9373,1846 is 13

LCM of denominators i.e. for 81,344 is 27864.

Thus, GCF of Fractions is 13/27864.Finally, GCF of Fractions for 9373/81, 1846/344 is 13/27864.