Greatest Common Factor of 70/704, 332/590, 241/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/704, 332/590, 241/446

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 70/704,332/590,241/446

Given fractions are 70/704,332/590,241/446

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 70,332,241

Greatest Common Factor of Numerators i.e. GCF of 70,332,241 is 1 .

LCM of Denominators means LCM of 704,590,446 as per the given fractions.

LCM of 704,590,446 is 46312640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,332,241

GCF of Fractions 70/704,332/590,241/446 is 1/46312640

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

Greatest Common Factor of 70,332,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,332,241 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 70,332,241 . The biggest common factor number is the GCF number.
So the greatest common factor 70,332,241 is 1.

Lets's calculate LCM of 704,590,446

2 704, 590, 446
352, 295, 223

∴ So the LCM of the given numbers is 2 x 352 x 295 x 223 = 46312640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46312640

Therefore, the GCF of Fractions 70/704,332/590,241/446 is 1/46312640

Least Common Multiple of 704,590,446 with GCF Formula

Least Common Multiple of 704,590,446 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 704,590,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,590,446) = 2

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

GCF(704,590,446) x common factors =2 x 2 = 4

LCM(704,590,446) = ( 704 × 590 × 446 ) / 4

LCM(704,590,446) = 185250560 / 4

LCM(704,590,446) = 46312640


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 70/704, 332/590, 241/446

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 70/704, 332/590, 241/446?

Answer: GCF of Numerators as per given numbers 70/704, 332/590, 241/446 is

GCF of Numerators i.e. for 70,332,241 is 1

LCM of denominators i.e. for 704,590,446 is 46312640.

Thus, GCF of Fractions is 1/46312640.Finally, GCF of Fractions for 70/704, 332/590, 241/446 is 1/46312640.