How to Find GCF of 20/87, 704/86, 401/266?

GCF of 20/87, 704/86, 401/266

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 20/87, 704/86, 401/266 i.e 1/995106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/87, 704/86, 401/266.

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 20/87,704/86,401/266?

Given fractions are 20/87,704/86,401/266

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 20/87,704/86,401/266, numerators are 20,704,401

Denominators are 87,86,266

The GCF of 20,704,401 is 1 .

LCM of 87,86,266 is 995106.

The greatest common factor of 20/87,704/86,401/266 = [GCF of 20,704,401]/[LCM of 87,86,266]= 1/995106

Therefore, the GCF of 20/87,704/86,401/266 is 1/995106.

Greatest Common Factor of 20,704,401

To find the highest common factor of 20,704,401, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

The factors of 401 are 1, 401

The HCF of 20,704,401 is 1.

Lets's calculate GCF of 20,704,401

Greatest Common Factor (GCF) of 20,704,401 By Common Division

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

Greatest Common Factor of 20,704,401 By Matching Biggest Common Factor Method

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 704

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Now, list down the factors of 401

1,401

Greatest Common Factor

We found the factors 20,704,401 . The biggest common factor number is the GCF number.
So the greatest common factor 20,704,401 is 1.

Lets's calculate LCM of 87,86,266

Lowest Common Multiple of 87,86,266 using Common Division

2	87, 86, 266
	87, 43, 133

∴ So the LCM of the given numbers is 2 x 87 x 43 x 133 = 995106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/995106

Therefore, the GCF of Fractions 20/87,704/86,401/266 is 1/995106

Least Common Multiple of 87,86,266 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 87,86,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,86,266) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,86,266) x common factors =1 x 2 = 2

LCM(87,86,266) = ( 87 × 86 × 266 ) / 2

LCM(87,86,266) = 1990212 / 2

LCM(87,86,266) = 995106

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 20/87, 704/86, 401/266

1. What is the HCF of 20,704,401?

The HCF of 20,704,401 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 20/87, 704/86, 401/266?

Answer: GCF of Numerators as per given numbers 20/87, 704/86, 401/266 is

GCF of Numerators i.e. for 20,704,401 is 1

LCM of denominators i.e. for 87,86,266 is 995106.

Thus, GCF of Fractions is 1/995106.Finally, GCF of Fractions for 20/87, 704/86, 401/266 is 1/995106.