Greatest Common Factor of 29/703, 12/846, 578/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/703, 12/846, 578/446

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 29/703,12/846,578/446

Given fractions are 29/703,12/846,578/446

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 29,12,578

Greatest Common Factor of Numerators i.e. GCF of 29,12,578 is 1 .

LCM of Denominators means LCM of 703,846,446 as per the given fractions.

LCM of 703,846,446 is 132626574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,12,578

GCF of Fractions 29/703,12/846,578/446 is 1/132626574

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

Greatest Common Factor of 29,12,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,12,578 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 29,12,578 . The biggest common factor number is the GCF number.
So the greatest common factor 29,12,578 is 1.

Lets's calculate LCM of 703,846,446

2 703, 846, 446
703, 423, 223

∴ So the LCM of the given numbers is 2 x 703 x 423 x 223 = 132626574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132626574

Therefore, the GCF of Fractions 29/703,12/846,578/446 is 1/132626574

Least Common Multiple of 703,846,446 with GCF Formula

Least Common Multiple of 703,846,446 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 703,846,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,846,446) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(703,846,446) x common factors =1 x 2 = 2

LCM(703,846,446) = ( 703 × 846 × 446 ) / 2

LCM(703,846,446) = 265253148 / 2

LCM(703,846,446) = 132626574


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 29/703, 12/846, 578/446

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 29/703, 12/846, 578/446?

Answer: GCF of Numerators as per given numbers 29/703, 12/846, 578/446 is

GCF of Numerators i.e. for 29,12,578 is 1

LCM of denominators i.e. for 703,846,446 is 132626574.

Thus, GCF of Fractions is 1/132626574.Finally, GCF of Fractions for 29/703, 12/846, 578/446 is 1/132626574.