Greatest Common Factor of 99/492, 698/818, 235/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/492, 698/818, 235/906

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 99/492,698/818,235/906

Given fractions are 99/492,698/818,235/906

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 99,698,235

Greatest Common Factor of Numerators i.e. GCF of 99,698,235 is 1 .

LCM of Denominators means LCM of 492,818,906 as per the given fractions.

LCM of 492,818,906 is 30385428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,698,235

GCF of Fractions 99/492,698/818,235/906 is 1/30385428

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

Greatest Common Factor of 99,698,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,698,235 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 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 99,698,235 . The biggest common factor number is the GCF number.
So the greatest common factor 99,698,235 is 1.

Lets's calculate LCM of 492,818,906

2 492, 818, 906
3 246, 409, 453
82, 409, 151

∴ So the LCM of the given numbers is 2 x 3 x 82 x 409 x 151 = 30385428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30385428

Therefore, the GCF of Fractions 99/492,698/818,235/906 is 1/30385428

Least Common Multiple of 492,818,906 with GCF Formula

Least Common Multiple of 492,818,906 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 492,818,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,818,906) = 2

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

GCF(492,818,906) x common factors =2 x 6 = 12

LCM(492,818,906) = ( 492 × 818 × 906 ) / 12

LCM(492,818,906) = 364625136 / 12

LCM(492,818,906) = 30385428


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 99/492, 698/818, 235/906

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 99/492, 698/818, 235/906?

Answer: GCF of Numerators as per given numbers 99/492, 698/818, 235/906 is

GCF of Numerators i.e. for 99,698,235 is 1

LCM of denominators i.e. for 492,818,906 is 30385428.

Thus, GCF of Fractions is 1/30385428.Finally, GCF of Fractions for 99/492, 698/818, 235/906 is 1/30385428.