How to Find GCF of 80/25, 82/27, 863/916?

GCF of 80/25, 82/27, 863/916

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 80/25, 82/27, 863/916 i.e 1/618300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/25, 82/27, 863/916.

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 80/25,82/27,863/916?

Given fractions are 80/25,82/27,863/916

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 80/25,82/27,863/916, numerators are 80,82,863

Denominators are 25,27,916

The GCF of 80,82,863 is 1 .

LCM of 25,27,916 is 618300.

The greatest common factor of 80/25,82/27,863/916 = [GCF of 80,82,863]/[LCM of 25,27,916]= 1/618300

Therefore, the GCF of 80/25,82/27,863/916 is 1/618300.

Greatest Common Factor of 80,82,863

To find the highest common factor of 80,82,863, we have to find the factors of both numbers and list the highest common factor.

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 82 are 1, 2, 41, 82

The factors of 863 are 1, 863

The HCF of 80,82,863 is 1.

Lets's calculate GCF of 80,82,863

Greatest Common Factor (GCF) of 80,82,863 By Common Division

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

Greatest Common Factor of 80,82,863 By Matching Biggest Common Factor Method

Now, list down the factors of 80

1,2,4,5,8,10,16,20,40,80

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 863

1,863

Greatest Common Factor

We found the factors 80,82,863 . The biggest common factor number is the GCF number.
So the greatest common factor 80,82,863 is 1.

Lets's calculate LCM of 25,27,916

Lowest Common Multiple of 25,27,916 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 618300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618300

Therefore, the GCF of Fractions 80/25,82/27,863/916 is 1/618300

Least Common Multiple of 25,27,916 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 25,27,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,27,916) = 1

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

GCF(25,27,916) x common factors =1 x 1 = 1

LCM(25,27,916) = ( 25 × 27 × 916 ) / 1

LCM(25,27,916) = 618300 / 1

LCM(25,27,916) = 618300

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FAQs on GCF of Fractions of 80/25, 82/27, 863/916

1. What is the HCF of 80,82,863?

The HCF of 80,82,863 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 80/25, 82/27, 863/916?

Answer: GCF of Numerators as per given numbers 80/25, 82/27, 863/916 is

GCF of Numerators i.e. for 80,82,863 is 1

LCM of denominators i.e. for 25,27,916 is 618300.

Thus, GCF of Fractions is 1/618300.Finally, GCF of Fractions for 80/25, 82/27, 863/916 is 1/618300.