Greatest Common Factor of 8/29, 18/903, 86/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/29, 18/903, 86/162

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 8/29,18/903,86/162

Given fractions are 8/29,18/903,86/162

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 8,18,86

Greatest Common Factor of Numerators i.e. GCF of 8,18,86 is 2 .

LCM of Denominators means LCM of 29,903,162 as per the given fractions.

LCM of 29,903,162 is 1414098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,18,86

GCF of Fractions 8/29,18/903,86/162 is 2/1414098

2 8, 18, 86
4, 9, 43

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

Greatest Common Factor of 8,18,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,18,86 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 86

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

1,2,43,86

Greatest Common Factor

We found the factors 8,18,86 . The biggest common factor number is the GCF number.
So the greatest common factor 8,18,86 is 2.

Lets's calculate LCM of 29,903,162

3 29, 903, 162
29, 301, 54

∴ So the LCM of the given numbers is 3 x 29 x 301 x 54 = 1414098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1414098

Therefore, the GCF of Fractions 8/29,18/903,86/162 is 2/1414098

Least Common Multiple of 29,903,162 with GCF Formula

Least Common Multiple of 29,903,162 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 29,903,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,903,162) = 1

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

GCF(29,903,162) x common factors =1 x 3 = 3

LCM(29,903,162) = ( 29 × 903 × 162 ) / 3

LCM(29,903,162) = 4242294 / 3

LCM(29,903,162) = 1414098


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 8/29, 18/903, 86/162

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 8/29, 18/903, 86/162?

Answer: GCF of Numerators as per given numbers 8/29, 18/903, 86/162 is

GCF of Numerators i.e. for 8,18,86 is 2

LCM of denominators i.e. for 29,903,162 is 1414098.

Thus, GCF of Fractions is 2/1414098.Finally, GCF of Fractions for 8/29, 18/903, 86/162 is 2/1414098.