How to Find GCF of 85/81, 323/98, 381/348?

GCF of 85/81, 323/98, 381/348

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 85/81, 323/98, 381/348 i.e 1/460404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/81, 323/98, 381/348.

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 85/81,323/98,381/348?

Given fractions are 85/81,323/98,381/348

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 85/81,323/98,381/348, numerators are 85,323,381

Denominators are 81,98,348

The GCF of 85,323,381 is 1 .

LCM of 81,98,348 is 460404.

The greatest common factor of 85/81,323/98,381/348 = [GCF of 85,323,381]/[LCM of 81,98,348]= 1/460404

Therefore, the GCF of 85/81,323/98,381/348 is 1/460404.

Greatest Common Factor of 85,323,381

To find the highest common factor of 85,323,381, we have to find the factors of both numbers and list the highest common factor.

The factors of 85 are 1, 5, 17, 85

The factors of 323 are 1, 17, 19, 323

The factors of 381 are 1, 3, 127, 381

The HCF of 85,323,381 is 1.

Lets's calculate GCF of 85,323,381

Greatest Common Factor (GCF) of 85,323,381 By Common Division

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

Greatest Common Factor of 85,323,381 By Matching Biggest Common Factor Method

Now, list down the factors of 85

1,5,17,85

Now, list down the factors of 323

1,17,19,323

Now, list down the factors of 381

1,3,127,381

Greatest Common Factor

We found the factors 85,323,381 . The biggest common factor number is the GCF number.
So the greatest common factor 85,323,381 is 1.

Lets's calculate LCM of 81,98,348

Lowest Common Multiple of 81,98,348 using Common Division

2	81, 98, 348
3	81, 49, 174
	27, 49, 58

∴ So the LCM of the given numbers is 2 x 3 x 27 x 49 x 58 = 460404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/460404

Therefore, the GCF of Fractions 85/81,323/98,381/348 is 1/460404

Least Common Multiple of 81,98,348 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 81,98,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,98,348) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(81,98,348) x common factors =1 x 6 = 6

LCM(81,98,348) = ( 81 × 98 × 348 ) / 6

LCM(81,98,348) = 2762424 / 6

LCM(81,98,348) = 460404

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FAQs on GCF of Fractions of 85/81, 323/98, 381/348

1. What is the HCF of 85,323,381?

The HCF of 85,323,381 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 85/81, 323/98, 381/348?

Answer: GCF of Numerators as per given numbers 85/81, 323/98, 381/348 is

GCF of Numerators i.e. for 85,323,381 is 1

LCM of denominators i.e. for 81,98,348 is 460404.

Thus, GCF of Fractions is 1/460404.Finally, GCF of Fractions for 85/81, 323/98, 381/348 is 1/460404.