Greatest Common Factor of 29/866, 96/423, 886/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/866, 96/423, 886/234

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 29/866,96/423,886/234

Given fractions are 29/866,96/423,886/234

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 29,96,886

Greatest Common Factor of Numerators i.e. GCF of 29,96,886 is 1 .

LCM of Denominators means LCM of 866,423,234 as per the given fractions.

LCM of 866,423,234 is 4762134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,96,886

GCF of Fractions 29/866,96/423,886/234 is 1/4762134

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

Greatest Common Factor of 29,96,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,96,886 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 29,96,886 . The biggest common factor number is the GCF number.
So the greatest common factor 29,96,886 is 1.

Lets's calculate LCM of 866,423,234

2 866, 423, 234
3 433, 423, 117
3 433, 141, 39
433, 47, 13

∴ So the LCM of the given numbers is 2 x 3 x 3 x 433 x 47 x 13 = 4762134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4762134

Therefore, the GCF of Fractions 29/866,96/423,886/234 is 1/4762134

Least Common Multiple of 866,423,234 with GCF Formula

Least Common Multiple of 866,423,234 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 866,423,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,423,234) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(866,423,234) x common factors =1 x 18 = 18

LCM(866,423,234) = ( 866 × 423 × 234 ) / 18

LCM(866,423,234) = 85718412 / 18

LCM(866,423,234) = 4762134


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 29/866, 96/423, 886/234

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 29/866, 96/423, 886/234?

Answer: GCF of Numerators as per given numbers 29/866, 96/423, 886/234 is

GCF of Numerators i.e. for 29,96,886 is 1

LCM of denominators i.e. for 866,423,234 is 4762134.

Thus, GCF of Fractions is 1/4762134.Finally, GCF of Fractions for 29/866, 96/423, 886/234 is 1/4762134.