How to Find GCF of 8563/288, 3191/5584?

GCF of 8563/288, 3191/5584

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 8563/288, 3191/5584 i.e 1/100512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8563/288, 3191/5584.

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 8563/288,3191/5584?

Given fractions are 8563/288,3191/5584

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 8563/288,3191/5584, numerators are 8563,3191

Denominators are 288,5584

The GCF of 8563,3191 is 1 .

LCM of 288,5584 is 100512.

The greatest common factor of 8563/288,3191/5584 = [GCF of 8563,3191]/[LCM of 288,5584]= 1/100512

Therefore, the GCF of 8563/288,3191/5584 is 1/100512.

Greatest Common Factor of 8563,3191

To find the highest common factor of 8563,3191, we have to find the factors of both numbers and list the highest common factor.

The factors of 8563 are 1, 8563

The factors of 3191 are 1, 3191

The HCF of 8563,3191 is 1.

Lets's calculate GCF of 8563,3191

Greatest Common Factor (GCF) of 8563,3191 By Common Division

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

Greatest Common Factor of 8563,3191 By Matching Biggest Common Factor Method

Now, list down the factors of 8563

1,8563

Now, list down the factors of 3191

1,3191

Greatest Common Factor

We found the factors 8563,3191 . The biggest common factor number is the GCF number.
So the greatest common factor 8563,3191 is 1.

Lets's calculate LCM of 288,5584

Lowest Common Multiple of 288,5584 using Common Division

2	288, 5584
2	144, 2792
2	72, 1396
2	36, 698
	18, 349

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 18 x 349 = 100512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100512

Therefore, the GCF of Fractions 8563/288,3191/5584 is 1/100512

Least Common Multiple of 288,5584 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 288,5584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,5584) = 16

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

GCF(288,5584) x common factors =16 x 1 = 16

LCM(288,5584) = ( 288 × 5584 ) / 16

LCM(288,5584) = 1608192 / 16

LCM(288,5584) = 100512

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FAQs on GCF of Fractions of 8563/288, 3191/5584

1. What is the HCF of 8563,3191?

The HCF of 8563,3191 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 8563/288, 3191/5584?

Answer: GCF of Numerators as per given numbers 8563/288, 3191/5584 is

GCF of Numerators i.e. for 8563,3191 is 1

LCM of denominators i.e. for 288,5584 is 100512.

Thus, GCF of Fractions is 1/100512.Finally, GCF of Fractions for 8563/288, 3191/5584 is 1/100512.