How to Find GCF of 81/25, 91/86, 733/674?

GCF of 81/25, 91/86, 733/674

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 81/25, 91/86, 733/674 i.e 1/724550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/25, 91/86, 733/674.

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 81/25,91/86,733/674?

Given fractions are 81/25,91/86,733/674

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 81/25,91/86,733/674, numerators are 81,91,733

Denominators are 25,86,674

The GCF of 81,91,733 is 1 .

LCM of 25,86,674 is 724550.

The greatest common factor of 81/25,91/86,733/674 = [GCF of 81,91,733]/[LCM of 25,86,674]= 1/724550

Therefore, the GCF of 81/25,91/86,733/674 is 1/724550.

Greatest Common Factor of 81,91,733

To find the highest common factor of 81,91,733, we have to find the factors of both numbers and list the highest common factor.

The factors of 81 are 1, 3, 9, 27, 81

The factors of 91 are 1, 7, 13, 91

The factors of 733 are 1, 733

The HCF of 81,91,733 is 1.

Lets's calculate GCF of 81,91,733

Greatest Common Factor (GCF) of 81,91,733 By Common Division

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

Greatest Common Factor of 81,91,733 By Matching Biggest Common Factor Method

Now, list down the factors of 81

1,3,9,27,81

Now, list down the factors of 91

1,7,13,91

Now, list down the factors of 733

1,733

Greatest Common Factor

We found the factors 81,91,733 . The biggest common factor number is the GCF number.
So the greatest common factor 81,91,733 is 1.

Lets's calculate LCM of 25,86,674

Lowest Common Multiple of 25,86,674 using Common Division

2	25, 86, 674
	25, 43, 337

∴ So the LCM of the given numbers is 2 x 25 x 43 x 337 = 724550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/724550

Therefore, the GCF of Fractions 81/25,91/86,733/674 is 1/724550

Least Common Multiple of 25,86,674 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 25,86,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,86,674) = 1

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

GCF(25,86,674) x common factors =1 x 2 = 2

LCM(25,86,674) = ( 25 × 86 × 674 ) / 2

LCM(25,86,674) = 1449100 / 2

LCM(25,86,674) = 724550

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FAQs on GCF of Fractions of 81/25, 91/86, 733/674

1. What is the HCF of 81,91,733?

The HCF of 81,91,733 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 81/25, 91/86, 733/674?

Answer: GCF of Numerators as per given numbers 81/25, 91/86, 733/674 is

GCF of Numerators i.e. for 81,91,733 is 1

LCM of denominators i.e. for 25,86,674 is 724550.

Thus, GCF of Fractions is 1/724550.Finally, GCF of Fractions for 81/25, 91/86, 733/674 is 1/724550.