How to Find GCF of 9343/253, 4442/9361?

GCF of 9343/253, 4442/9361

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 9343/253, 4442/9361 i.e 1/9361 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9343/253, 4442/9361.

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 9343/253,4442/9361?

Given fractions are 9343/253,4442/9361

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 9343/253,4442/9361, numerators are 9343,4442

Denominators are 253,9361

The GCF of 9343,4442 is 1 .

LCM of 253,9361 is 9361.

The greatest common factor of 9343/253,4442/9361 = [GCF of 9343,4442]/[LCM of 253,9361]= 1/9361

Therefore, the GCF of 9343/253,4442/9361 is 1/9361.

Greatest Common Factor of 9343,4442

To find the highest common factor of 9343,4442, we have to find the factors of both numbers and list the highest common factor.

The factors of 9343 are 1, 9343

The factors of 4442 are 1, 2, 2221, 4442

The HCF of 9343,4442 is 1.

Lets's calculate GCF of 9343,4442

Greatest Common Factor (GCF) of 9343,4442 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9343,4442 By Matching Biggest Common Factor Method

Now, list down the factors of 9343

1,9343

Now, list down the factors of 4442

1,2,2221,4442

Greatest Common Factor

We found the factors 9343,4442 . The biggest common factor number is the GCF number.
So the greatest common factor 9343,4442 is 1.

Lets's calculate LCM of 253,9361

Lowest Common Multiple of 253,9361 using Common Division

11	253, 9361
23	23, 851
	1, 37

∴ So the LCM of the given numbers is 11 x 23 x 1 x 37 = 9361

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9361

Therefore, the GCF of Fractions 9343/253,4442/9361 is 1/9361

Least Common Multiple of 253,9361 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 253,9361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,9361) = 253

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

GCF(253,9361) x common factors =253 x 1 = 253

LCM(253,9361) = ( 253 × 9361 ) / 253

LCM(253,9361) = 2368333 / 253

LCM(253,9361) = 9361

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FAQs on GCF of Fractions of 9343/253, 4442/9361

1. What is the HCF of 9343,4442?

The HCF of 9343,4442 is 1

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 9343/253, 4442/9361?

Answer: GCF of Numerators as per given numbers 9343/253, 4442/9361 is

GCF of Numerators i.e. for 9343,4442 is 1

LCM of denominators i.e. for 253,9361 is 9361.

Thus, GCF of Fractions is 1/9361.Finally, GCF of Fractions for 9343/253, 4442/9361 is 1/9361.