How to Find GCF of 27/92, 488/14, 385/215?

GCF of 27/92, 488/14, 385/215

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 27/92, 488/14, 385/215 i.e 1/138460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/92, 488/14, 385/215.

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 27/92,488/14,385/215?

Given fractions are 27/92,488/14,385/215

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 27/92,488/14,385/215, numerators are 27,488,385

Denominators are 92,14,215

The GCF of 27,488,385 is 1 .

LCM of 92,14,215 is 138460.

The greatest common factor of 27/92,488/14,385/215 = [GCF of 27,488,385]/[LCM of 92,14,215]= 1/138460

Therefore, the GCF of 27/92,488/14,385/215 is 1/138460.

Greatest Common Factor of 27,488,385

To find the highest common factor of 27,488,385, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385

The HCF of 27,488,385 is 1.

Lets's calculate GCF of 27,488,385

Greatest Common Factor (GCF) of 27,488,385 By Common Division

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

Greatest Common Factor of 27,488,385 By Matching Biggest Common Factor Method

Now, list down the factors of 27

1,3,9,27

Now, list down the factors of 488

1,2,4,8,61,122,244,488

Now, list down the factors of 385

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 27,488,385 . The biggest common factor number is the GCF number.
So the greatest common factor 27,488,385 is 1.

Lets's calculate LCM of 92,14,215

Lowest Common Multiple of 92,14,215 using Common Division

2	92, 14, 215
	46, 7, 215

∴ So the LCM of the given numbers is 2 x 46 x 7 x 215 = 138460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138460

Therefore, the GCF of Fractions 27/92,488/14,385/215 is 1/138460

Least Common Multiple of 92,14,215 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 92,14,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,14,215) = 1

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

GCF(92,14,215) x common factors =1 x 2 = 2

LCM(92,14,215) = ( 92 × 14 × 215 ) / 2

LCM(92,14,215) = 276920 / 2

LCM(92,14,215) = 138460

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 27/92, 488/14, 385/215

1. What is the HCF of 27,488,385?

The HCF of 27,488,385 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 27/92, 488/14, 385/215?

Answer: GCF of Numerators as per given numbers 27/92, 488/14, 385/215 is

GCF of Numerators i.e. for 27,488,385 is 1

LCM of denominators i.e. for 92,14,215 is 138460.

Thus, GCF of Fractions is 1/138460.Finally, GCF of Fractions for 27/92, 488/14, 385/215 is 1/138460.