How to Find GCF of 9733/206, 4647/5978?

GCF of 9733/206, 4647/5978

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 9733/206, 4647/5978 i.e 1/615734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9733/206, 4647/5978.

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 9733/206,4647/5978?

Given fractions are 9733/206,4647/5978

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 9733/206,4647/5978, numerators are 9733,4647

Denominators are 206,5978

The GCF of 9733,4647 is 1 .

LCM of 206,5978 is 615734.

The greatest common factor of 9733/206,4647/5978 = [GCF of 9733,4647]/[LCM of 206,5978]= 1/615734

Therefore, the GCF of 9733/206,4647/5978 is 1/615734.

Greatest Common Factor of 9733,4647

To find the highest common factor of 9733,4647, we have to find the factors of both numbers and list the highest common factor.

The factors of 9733 are 1, 9733

The factors of 4647 are 1, 3, 1549, 4647

The HCF of 9733,4647 is 1.

Lets's calculate GCF of 9733,4647

Greatest Common Factor (GCF) of 9733,4647 By Common Division

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

Greatest Common Factor of 9733,4647 By Matching Biggest Common Factor Method

Now, list down the factors of 9733

1,9733

Now, list down the factors of 4647

1,3,1549,4647

Greatest Common Factor

We found the factors 9733,4647 . The biggest common factor number is the GCF number.
So the greatest common factor 9733,4647 is 1.

Lets's calculate LCM of 206,5978

Lowest Common Multiple of 206,5978 using Common Division

2	206, 5978
	103, 2989

∴ So the LCM of the given numbers is 2 x 103 x 2989 = 615734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/615734

Therefore, the GCF of Fractions 9733/206,4647/5978 is 1/615734

Least Common Multiple of 206,5978 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 206,5978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,5978) = 2

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

GCF(206,5978) x common factors =2 x 1 = 2

LCM(206,5978) = ( 206 × 5978 ) / 2

LCM(206,5978) = 1231468 / 2

LCM(206,5978) = 615734

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FAQs on GCF of Fractions of 9733/206, 4647/5978

1. What is the HCF of 9733,4647?

The HCF of 9733,4647 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 9733/206, 4647/5978?

Answer: GCF of Numerators as per given numbers 9733/206, 4647/5978 is

GCF of Numerators i.e. for 9733,4647 is 1

LCM of denominators i.e. for 206,5978 is 615734.

Thus, GCF of Fractions is 1/615734.Finally, GCF of Fractions for 9733/206, 4647/5978 is 1/615734.