How to Find GCF of 9681/794, 4583/1749?

GCF of 9681/794, 4583/1749

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 9681/794, 4583/1749 i.e 1/1388706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9681/794, 4583/1749.

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 9681/794,4583/1749?

Given fractions are 9681/794,4583/1749

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 9681/794,4583/1749, numerators are 9681,4583

Denominators are 794,1749

The GCF of 9681,4583 is 1 .

LCM of 794,1749 is 1388706.

The greatest common factor of 9681/794,4583/1749 = [GCF of 9681,4583]/[LCM of 794,1749]= 1/1388706

Therefore, the GCF of 9681/794,4583/1749 is 1/1388706.

Greatest Common Factor of 9681,4583

To find the highest common factor of 9681,4583, we have to find the factors of both numbers and list the highest common factor.

The factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681

The factors of 4583 are 1, 4583

The HCF of 9681,4583 is 1.

Lets's calculate GCF of 9681,4583

Greatest Common Factor (GCF) of 9681,4583 By Common Division

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

Greatest Common Factor of 9681,4583 By Matching Biggest Common Factor Method

Now, list down the factors of 9681

1,3,7,21,461,1383,3227,9681

Now, list down the factors of 4583

1,4583

Greatest Common Factor

We found the factors 9681,4583 . The biggest common factor number is the GCF number.
So the greatest common factor 9681,4583 is 1.

Lets's calculate LCM of 794,1749

Lowest Common Multiple of 794,1749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1388706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1388706

Therefore, the GCF of Fractions 9681/794,4583/1749 is 1/1388706

Least Common Multiple of 794,1749 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 794,1749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,1749) = 1

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

GCF(794,1749) x common factors =1 x 1 = 1

LCM(794,1749) = ( 794 × 1749 ) / 1

LCM(794,1749) = 1388706 / 1

LCM(794,1749) = 1388706

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FAQs on GCF of Fractions of 9681/794, 4583/1749

1. What is the HCF of 9681,4583?

The HCF of 9681,4583 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 9681/794, 4583/1749?

Answer: GCF of Numerators as per given numbers 9681/794, 4583/1749 is

GCF of Numerators i.e. for 9681,4583 is 1

LCM of denominators i.e. for 794,1749 is 1388706.

Thus, GCF of Fractions is 1/1388706.Finally, GCF of Fractions for 9681/794, 4583/1749 is 1/1388706.