Greatest Common Factor of 441/71, 734/72, 245/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 441/71, 734/72, 245/699

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 441/71,734/72,245/699

Given fractions are 441/71,734/72,245/699

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 441,734,245

Greatest Common Factor of Numerators i.e. GCF of 441,734,245 is 1 .

LCM of Denominators means LCM of 71,72,699 as per the given fractions.

LCM of 71,72,699 is 1191096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 441,734,245

GCF of Fractions 441/71,734/72,245/699 is 1/1191096

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

Greatest Common Factor of 441,734,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,734,245 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 441,734,245 . The biggest common factor number is the GCF number.
So the greatest common factor 441,734,245 is 1.

Lets's calculate LCM of 71,72,699

3 71, 72, 699
71, 24, 233

∴ So the LCM of the given numbers is 3 x 71 x 24 x 233 = 1191096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1191096

Therefore, the GCF of Fractions 441/71,734/72,245/699 is 1/1191096

Least Common Multiple of 71,72,699 with GCF Formula

Least Common Multiple of 71,72,699 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 71,72,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,72,699) = 1

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

GCF(71,72,699) x common factors =1 x 3 = 3

LCM(71,72,699) = ( 71 × 72 × 699 ) / 3

LCM(71,72,699) = 3573288 / 3

LCM(71,72,699) = 1191096


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 441/71, 734/72, 245/699

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 441/71, 734/72, 245/699?

Answer: GCF of Numerators as per given numbers 441/71, 734/72, 245/699 is

GCF of Numerators i.e. for 441,734,245 is 1

LCM of denominators i.e. for 71,72,699 is 1191096.

Thus, GCF of Fractions is 1/1191096.Finally, GCF of Fractions for 441/71, 734/72, 245/699 is 1/1191096.