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GCF of 8661/520, 3273/5293

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 8661/520, 3273/5293 i.e 3/2752360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8661/520, 3273/5293.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8661/520,3273/5293?

Given fractions are 8661/520,3273/5293

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 8661/520,3273/5293, numerators are 8661,3273

Denominators are 520,5293

The GCF of 8661,3273 is 3 .

LCM of 520,5293 is 2752360.

The greatest common factor of 8661/520,3273/5293 = [GCF of 8661,3273]/[LCM of 520,5293]= 3/2752360

Therefore, the GCF of 8661/520,3273/5293 is 3/2752360.

Greatest Common Factor of 8661,3273

To find the highest common factor of 8661,3273, we have to find the factors of both numbers and list the highest common factor.

The factors of 8661 are 1, 3, 2887, 8661

The factors of 3273 are 1, 3, 1091, 3273

The HCF of 8661,3273 is 3.

Lets's calculate GCF of 8661,3273

Greatest Common Factor (GCF) of 8661,3273 By Common Division

3 8661, 3273
2887, 1091

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8661,3273 By Matching Biggest Common Factor Method

Greatest Common Factor of 8661,3273 By Matching Biggest Common Factor Method

Now, list down the factors of 8661

:

1,3,2887,8661

Now, list down the factors of 3273

:

1,3,1091,3273

Greatest Common Factor

We found the factors 8661,3273 . The biggest common factor number is the GCF number.
So the greatest common factor 8661,3273 is 3.

Lets's calculate LCM of 520,5293

Lowest Common Multiple of 520,5293 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2752360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2752360

Therefore, the GCF of Fractions 8661/520,3273/5293 is 3/2752360

Least Common Multiple of 520,5293 with GCF Formula

Least Common Multiple of 520,5293 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 520,5293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,5293) = 1

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

GCF(520,5293) x common factors =1 x 1 = 1

LCM(520,5293) = ( 520 × 5293 ) / 1

LCM(520,5293) = 2752360 / 1

LCM(520,5293) = 2752360


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8661/520, 3273/5293

1. What is the HCF of 8661,3273?

The HCF of 8661,3273 is 3

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 8661/520, 3273/5293?

Answer: GCF of Numerators as per given numbers 8661/520, 3273/5293 is

GCF of Numerators i.e. for 8661,3273 is 3

LCM of denominators i.e. for 520,5293 is 2752360.

Thus, GCF of Fractions is 3/2752360.Finally, GCF of Fractions for 8661/520, 3273/5293 is 3/2752360.