How to Find GCF of 8933/268, 9585/4658?

GCF of 8933/268, 9585/4658

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 8933/268, 9585/4658 i.e 1/624172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8933/268, 9585/4658.

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 8933/268,9585/4658?

Given fractions are 8933/268,9585/4658

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 8933/268,9585/4658, numerators are 8933,9585

Denominators are 268,4658

The GCF of 8933,9585 is 1 .

LCM of 268,4658 is 624172.

The greatest common factor of 8933/268,9585/4658 = [GCF of 8933,9585]/[LCM of 268,4658]= 1/624172

Therefore, the GCF of 8933/268,9585/4658 is 1/624172.

Greatest Common Factor of 8933,9585

To find the highest common factor of 8933,9585, we have to find the factors of both numbers and list the highest common factor.

The factors of 8933 are 1, 8933

The factors of 9585 are 1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585

The HCF of 8933,9585 is 1.

Lets's calculate GCF of 8933,9585

Greatest Common Factor (GCF) of 8933,9585 By Common Division

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

Greatest Common Factor of 8933,9585 By Matching Biggest Common Factor Method

Now, list down the factors of 8933

1,8933

Now, list down the factors of 9585

1,3,5,9,15,27,45,71,135,213,355,639,1065,1917,3195,9585

Greatest Common Factor

We found the factors 8933,9585 . The biggest common factor number is the GCF number.
So the greatest common factor 8933,9585 is 1.

Lets's calculate LCM of 268,4658

Lowest Common Multiple of 268,4658 using Common Division

2	268, 4658
	134, 2329

∴ So the LCM of the given numbers is 2 x 134 x 2329 = 624172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624172

Therefore, the GCF of Fractions 8933/268,9585/4658 is 1/624172

Least Common Multiple of 268,4658 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 268,4658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,4658) = 2

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

GCF(268,4658) x common factors =2 x 1 = 2

LCM(268,4658) = ( 268 × 4658 ) / 2

LCM(268,4658) = 1248344 / 2

LCM(268,4658) = 624172

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FAQs on GCF of Fractions of 8933/268, 9585/4658

1. What is the HCF of 8933,9585?

The HCF of 8933,9585 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 8933/268, 9585/4658?

Answer: GCF of Numerators as per given numbers 8933/268, 9585/4658 is

GCF of Numerators i.e. for 8933,9585 is 1

LCM of denominators i.e. for 268,4658 is 624172.

Thus, GCF of Fractions is 1/624172.Finally, GCF of Fractions for 8933/268, 9585/4658 is 1/624172.