How to Find GCF of 14/23, 82/91, 26/906?

GCF of 14/23, 82/91, 26/906

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 14/23, 82/91, 26/906 i.e 2/1896258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/23, 82/91, 26/906.

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 14/23,82/91,26/906?

Given fractions are 14/23,82/91,26/906

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 14/23,82/91,26/906, numerators are 14,82,26

Denominators are 23,91,906

The GCF of 14,82,26 is 2 .

LCM of 23,91,906 is 1896258.

The greatest common factor of 14/23,82/91,26/906 = [GCF of 14,82,26]/[LCM of 23,91,906]= 2/1896258

Therefore, the GCF of 14/23,82/91,26/906 is 2/1896258.

Greatest Common Factor of 14,82,26

To find the highest common factor of 14,82,26, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

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

The factors of 26 are 1, 2, 13, 26

The HCF of 14,82,26 is 2.

Lets's calculate GCF of 14,82,26

Greatest Common Factor (GCF) of 14,82,26 By Common Division

2	14, 82, 26
	7, 41, 13

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

Greatest Common Factor of 14,82,26 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 26

1,2,13,26

Greatest Common Factor

We found the factors 14,82,26 . The biggest common factor number is the GCF number.
So the greatest common factor 14,82,26 is 2.

Lets's calculate LCM of 23,91,906

Lowest Common Multiple of 23,91,906 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1896258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1896258

Therefore, the GCF of Fractions 14/23,82/91,26/906 is 2/1896258

Least Common Multiple of 23,91,906 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 23,91,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,91,906) = 1

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

GCF(23,91,906) x common factors =1 x 1 = 1

LCM(23,91,906) = ( 23 × 91 × 906 ) / 1

LCM(23,91,906) = 1896258 / 1

LCM(23,91,906) = 1896258

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FAQs on GCF of Fractions of 14/23, 82/91, 26/906

1. What is the HCF of 14,82,26?

The HCF of 14,82,26 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 14/23, 82/91, 26/906?

Answer: GCF of Numerators as per given numbers 14/23, 82/91, 26/906 is

GCF of Numerators i.e. for 14,82,26 is 2

LCM of denominators i.e. for 23,91,906 is 1896258.

Thus, GCF of Fractions is 2/1896258.Finally, GCF of Fractions for 14/23, 82/91, 26/906 is 2/1896258.