How to Find GCF of 487/81, 487/206?

GCF of 487/81, 487/206

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 487/81, 487/206 i.e 487/16686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/81, 487/206.

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 487/81,487/206?

Given fractions are 487/81,487/206

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 487/81,487/206, numerators are 487,487

Denominators are 81,206

The GCF of 487,487 is 487 .

LCM of 81,206 is 16686.

The greatest common factor of 487/81,487/206 = [GCF of 487,487]/[LCM of 81,206]= 487/16686

Therefore, the GCF of 487/81,487/206 is 487/16686.

Greatest Common Factor of 487,487

To find the highest common factor of 487,487, we have to find the factors of both numbers and list the highest common factor.

The factors of 487 are 1, 487

The HCF of 487,487 is 487.

Lets's calculate GCF of 487,487

Greatest Common Factor (GCF) of 487,487 By Common Division

487	487, 487
	1, 1

∴ So the GCF of the given numbers is 487 = 487

Greatest Common Factor of 487,487 By Matching Biggest Common Factor Method

Now, list down the factors of 487

1,487

Now, list down the factors of 487

1,487

Greatest Common Factor

We found the factors 487,487 . The biggest common factor number is the GCF number.
So the greatest common factor 487,487 is 487.

Lets's calculate LCM of 81,206

Lowest Common Multiple of 81,206 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 16686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 487/16686

Therefore, the GCF of Fractions 487/81,487/206 is 487/16686

Least Common Multiple of 81,206 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 81,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,206) = 1

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

GCF(81,206) x common factors =1 x 1 = 1

LCM(81,206) = ( 81 × 206 ) / 1

LCM(81,206) = 16686 / 1

LCM(81,206) = 16686

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FAQs on GCF of Fractions of 487/81, 487/206

1. What is the HCF of 487,487?

The HCF of 487,487 is 487

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 487/81, 487/206?

Answer: GCF of Numerators as per given numbers 487/81, 487/206 is

GCF of Numerators i.e. for 487,487 is 487

LCM of denominators i.e. for 81,206 is 16686.

Thus, GCF of Fractions is 487/16686.Finally, GCF of Fractions for 487/81, 487/206 is 487/16686.