How to Find GCF of 9278/664, 8943/2946?

GCF of 9278/664, 8943/2946

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 9278/664, 8943/2946 i.e 1/978072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9278/664, 8943/2946.

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 9278/664,8943/2946?

Given fractions are 9278/664,8943/2946

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 9278/664,8943/2946, numerators are 9278,8943

Denominators are 664,2946

The GCF of 9278,8943 is 1 .

LCM of 664,2946 is 978072.

The greatest common factor of 9278/664,8943/2946 = [GCF of 9278,8943]/[LCM of 664,2946]= 1/978072

Therefore, the GCF of 9278/664,8943/2946 is 1/978072.

Greatest Common Factor of 9278,8943

To find the highest common factor of 9278,8943, we have to find the factors of both numbers and list the highest common factor.

The factors of 9278 are 1, 2, 4639, 9278

The factors of 8943 are 1, 3, 11, 33, 271, 813, 2981, 8943

The HCF of 9278,8943 is 1.

Lets's calculate GCF of 9278,8943

Greatest Common Factor (GCF) of 9278,8943 By Common Division

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

Greatest Common Factor of 9278,8943 By Matching Biggest Common Factor Method

Now, list down the factors of 9278

1,2,4639,9278

Now, list down the factors of 8943

1,3,11,33,271,813,2981,8943

Greatest Common Factor

We found the factors 9278,8943 . The biggest common factor number is the GCF number.
So the greatest common factor 9278,8943 is 1.

Lets's calculate LCM of 664,2946

Lowest Common Multiple of 664,2946 using Common Division

2	664, 2946
	332, 1473

∴ So the LCM of the given numbers is 2 x 332 x 1473 = 978072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/978072

Therefore, the GCF of Fractions 9278/664,8943/2946 is 1/978072

Least Common Multiple of 664,2946 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 664,2946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,2946) = 2

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

GCF(664,2946) x common factors =2 x 1 = 2

LCM(664,2946) = ( 664 × 2946 ) / 2

LCM(664,2946) = 1956144 / 2

LCM(664,2946) = 978072

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9278/664, 8943/2946

1. What is the HCF of 9278,8943?

The HCF of 9278,8943 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 9278/664, 8943/2946?

Answer: GCF of Numerators as per given numbers 9278/664, 8943/2946 is

GCF of Numerators i.e. for 9278,8943 is 1

LCM of denominators i.e. for 664,2946 is 978072.

Thus, GCF of Fractions is 1/978072.Finally, GCF of Fractions for 9278/664, 8943/2946 is 1/978072.