Greatest Common Factor of 99/494, 241/469, 696/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/494, 241/469, 696/741

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 99/494,241/469,696/741

Given fractions are 99/494,241/469,696/741

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 99,241,696

Greatest Common Factor of Numerators i.e. GCF of 99,241,696 is 1 .

LCM of Denominators means LCM of 494,469,741 as per the given fractions.

LCM of 494,469,741 is 695058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,241,696

GCF of Fractions 99/494,241/469,696/741 is 1/695058

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

Greatest Common Factor of 99,241,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,241,696 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 241

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

1,241

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 99,241,696 . The biggest common factor number is the GCF number.
So the greatest common factor 99,241,696 is 1.

Lets's calculate LCM of 494,469,741

13 494, 469, 741
19 38, 469, 57
2, 469, 3

∴ So the LCM of the given numbers is 13 x 19 x 2 x 469 x 3 = 695058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/695058

Therefore, the GCF of Fractions 99/494,241/469,696/741 is 1/695058

Least Common Multiple of 494,469,741 with GCF Formula

Least Common Multiple of 494,469,741 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 494,469,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,469,741) = 1

common factors(in case of two or more numbers have common factors) = 247

GCF(494,469,741) x common factors =1 x 247 = 247

LCM(494,469,741) = ( 494 × 469 × 741 ) / 247

LCM(494,469,741) = 171679326 / 247

LCM(494,469,741) = 695058


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 99/494, 241/469, 696/741

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 99/494, 241/469, 696/741?

Answer: GCF of Numerators as per given numbers 99/494, 241/469, 696/741 is

GCF of Numerators i.e. for 99,241,696 is 1

LCM of denominators i.e. for 494,469,741 is 695058.

Thus, GCF of Fractions is 1/695058.Finally, GCF of Fractions for 99/494, 241/469, 696/741 is 1/695058.