Greatest Common Factor of 86/21, 28/15, 194/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/21, 28/15, 194/871

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 86/21,28/15,194/871

Given fractions are 86/21,28/15,194/871

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 86,28,194

Greatest Common Factor of Numerators i.e. GCF of 86,28,194 is 2 .

LCM of Denominators means LCM of 21,15,871 as per the given fractions.

LCM of 21,15,871 is 91455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,28,194

GCF of Fractions 86/21,28/15,194/871 is 2/91455

2 86, 28, 194
43, 14, 97

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

Greatest Common Factor of 86,28,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,28,194 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 86,28,194 . The biggest common factor number is the GCF number.
So the greatest common factor 86,28,194 is 2.

Lets's calculate LCM of 21,15,871

3 21, 15, 871
7, 5, 871

∴ So the LCM of the given numbers is 3 x 7 x 5 x 871 = 91455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/91455

Therefore, the GCF of Fractions 86/21,28/15,194/871 is 2/91455

Least Common Multiple of 21,15,871 with GCF Formula

Least Common Multiple of 21,15,871 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 21,15,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,15,871) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,15,871) x common factors =1 x 3 = 3

LCM(21,15,871) = ( 21 × 15 × 871 ) / 3

LCM(21,15,871) = 274365 / 3

LCM(21,15,871) = 91455


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 86/21, 28/15, 194/871

1. 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.

2. What is the GCF of Fractions for 86/21, 28/15, 194/871?

Answer: GCF of Numerators as per given numbers 86/21, 28/15, 194/871 is

GCF of Numerators i.e. for 86,28,194 is 2

LCM of denominators i.e. for 21,15,871 is 91455.

Thus, GCF of Fractions is 2/91455.Finally, GCF of Fractions for 86/21, 28/15, 194/871 is 2/91455.