Greatest Common Factor of 29/80, 98/81, 162/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/80, 98/81, 162/411

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 29/80,98/81,162/411

Given fractions are 29/80,98/81,162/411

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 29,98,162

Greatest Common Factor of Numerators i.e. GCF of 29,98,162 is 1 .

LCM of Denominators means LCM of 80,81,411 as per the given fractions.

LCM of 80,81,411 is 887760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,98,162

GCF of Fractions 29/80,98/81,162/411 is 1/887760

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

Greatest Common Factor of 29,98,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,98,162 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 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 29,98,162 . The biggest common factor number is the GCF number.
So the greatest common factor 29,98,162 is 1.

Lets's calculate LCM of 80,81,411

3 80, 81, 411
80, 27, 137

∴ So the LCM of the given numbers is 3 x 80 x 27 x 137 = 887760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/887760

Therefore, the GCF of Fractions 29/80,98/81,162/411 is 1/887760

Least Common Multiple of 80,81,411 with GCF Formula

Least Common Multiple of 80,81,411 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 80,81,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,81,411) = 1

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

GCF(80,81,411) x common factors =1 x 3 = 3

LCM(80,81,411) = ( 80 × 81 × 411 ) / 3

LCM(80,81,411) = 2663280 / 3

LCM(80,81,411) = 887760


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 29/80, 98/81, 162/411

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 29/80, 98/81, 162/411?

Answer: GCF of Numerators as per given numbers 29/80, 98/81, 162/411 is

GCF of Numerators i.e. for 29,98,162 is 1

LCM of denominators i.e. for 80,81,411 is 887760.

Thus, GCF of Fractions is 1/887760.Finally, GCF of Fractions for 29/80, 98/81, 162/411 is 1/887760.