How to Find GCF of 86/143, 5284/5563?

GCF of 86/143, 5284/5563

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 86/143, 5284/5563 i.e 2/795509 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/143, 5284/5563.

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 86/143,5284/5563?

Given fractions are 86/143,5284/5563

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 86/143,5284/5563, numerators are 86,5284

Denominators are 143,5563

The GCF of 86,5284 is 2 .

LCM of 143,5563 is 795509.

The greatest common factor of 86/143,5284/5563 = [GCF of 86,5284]/[LCM of 143,5563]= 2/795509

Therefore, the GCF of 86/143,5284/5563 is 2/795509.

Greatest Common Factor of 86,5284

To find the highest common factor of 86,5284, we have to find the factors of both numbers and list the highest common factor.

The factors of 86 are 1, 2, 43, 86

The factors of 5284 are 1, 2, 4, 1321, 2642, 5284

The HCF of 86,5284 is 2.

Lets's calculate GCF of 86,5284

Greatest Common Factor (GCF) of 86,5284 By Common Division

2	86, 5284
	43, 2642

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 86,5284 By Matching Biggest Common Factor Method

Now, list down the factors of 86

1,2,43,86

Now, list down the factors of 5284

1,2,4,1321,2642,5284

Greatest Common Factor

We found the factors 86,5284 . The biggest common factor number is the GCF number.
So the greatest common factor 86,5284 is 2.

Lets's calculate LCM of 143,5563

Lowest Common Multiple of 143,5563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 795509

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/795509

Therefore, the GCF of Fractions 86/143,5284/5563 is 2/795509

Least Common Multiple of 143,5563 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 143,5563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,5563) = 1

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

GCF(143,5563) x common factors =1 x 1 = 1

LCM(143,5563) = ( 143 × 5563 ) / 1

LCM(143,5563) = 795509 / 1

LCM(143,5563) = 795509

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FAQs on GCF of Fractions of 86/143, 5284/5563

1. What is the HCF of 86,5284?

The HCF of 86,5284 is 2

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 86/143, 5284/5563?

Answer: GCF of Numerators as per given numbers 86/143, 5284/5563 is

GCF of Numerators i.e. for 86,5284 is 2

LCM of denominators i.e. for 143,5563 is 795509.

Thus, GCF of Fractions is 2/795509.Finally, GCF of Fractions for 86/143, 5284/5563 is 2/795509.