Greatest Common Factor of 29/846, 665/271, 216/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/846, 665/271, 216/744

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 29/846,665/271,216/744

Given fractions are 29/846,665/271,216/744

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 29,665,216

Greatest Common Factor of Numerators i.e. GCF of 29,665,216 is 1 .

LCM of Denominators means LCM of 846,271,744 as per the given fractions.

LCM of 846,271,744 is 28428984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,665,216

GCF of Fractions 29/846,665/271,216/744 is 1/28428984

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

Greatest Common Factor of 29,665,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,665,216 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 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 29,665,216 . The biggest common factor number is the GCF number.
So the greatest common factor 29,665,216 is 1.

Lets's calculate LCM of 846,271,744

2 846, 271, 744
3 423, 271, 372
141, 271, 124

∴ So the LCM of the given numbers is 2 x 3 x 141 x 271 x 124 = 28428984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28428984

Therefore, the GCF of Fractions 29/846,665/271,216/744 is 1/28428984

Least Common Multiple of 846,271,744 with GCF Formula

Least Common Multiple of 846,271,744 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 846,271,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,271,744) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(846,271,744) x common factors =1 x 6 = 6

LCM(846,271,744) = ( 846 × 271 × 744 ) / 6

LCM(846,271,744) = 170573904 / 6

LCM(846,271,744) = 28428984


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 29/846, 665/271, 216/744

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 29/846, 665/271, 216/744?

Answer: GCF of Numerators as per given numbers 29/846, 665/271, 216/744 is

GCF of Numerators i.e. for 29,665,216 is 1

LCM of denominators i.e. for 846,271,744 is 28428984.

Thus, GCF of Fractions is 1/28428984.Finally, GCF of Fractions for 29/846, 665/271, 216/744 is 1/28428984.