How to Find GCF of 9247/389, 8383/5739?

GCF of 9247/389, 8383/5739

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 9247/389, 8383/5739 i.e 1/2232471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9247/389, 8383/5739.

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 9247/389,8383/5739?

Given fractions are 9247/389,8383/5739

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 9247/389,8383/5739, numerators are 9247,8383

Denominators are 389,5739

The GCF of 9247,8383 is 1 .

LCM of 389,5739 is 2232471.

The greatest common factor of 9247/389,8383/5739 = [GCF of 9247,8383]/[LCM of 389,5739]= 1/2232471

Therefore, the GCF of 9247/389,8383/5739 is 1/2232471.

Greatest Common Factor of 9247,8383

To find the highest common factor of 9247,8383, we have to find the factors of both numbers and list the highest common factor.

The factors of 9247 are 1, 7, 1321, 9247

The factors of 8383 are 1, 83, 101, 8383

The HCF of 9247,8383 is 1.

Lets's calculate GCF of 9247,8383

Greatest Common Factor (GCF) of 9247,8383 By Common Division

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

Greatest Common Factor of 9247,8383 By Matching Biggest Common Factor Method

Now, list down the factors of 9247

1,7,1321,9247

Now, list down the factors of 8383

1,83,101,8383

Greatest Common Factor

We found the factors 9247,8383 . The biggest common factor number is the GCF number.
So the greatest common factor 9247,8383 is 1.

Lets's calculate LCM of 389,5739

Lowest Common Multiple of 389,5739 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2232471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2232471

Therefore, the GCF of Fractions 9247/389,8383/5739 is 1/2232471

Least Common Multiple of 389,5739 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 389,5739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,5739) = 1

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

GCF(389,5739) x common factors =1 x 1 = 1

LCM(389,5739) = ( 389 × 5739 ) / 1

LCM(389,5739) = 2232471 / 1

LCM(389,5739) = 2232471

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FAQs on GCF of Fractions of 9247/389, 8383/5739

1. What is the HCF of 9247,8383?

The HCF of 9247,8383 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 9247/389, 8383/5739?

Answer: GCF of Numerators as per given numbers 9247/389, 8383/5739 is

GCF of Numerators i.e. for 9247,8383 is 1

LCM of denominators i.e. for 389,5739 is 2232471.

Thus, GCF of Fractions is 1/2232471.Finally, GCF of Fractions for 9247/389, 8383/5739 is 1/2232471.