Greatest Common Factor of 99/29, 35/242, 152/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/29, 35/242, 152/686

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 99/29,35/242,152/686

Given fractions are 99/29,35/242,152/686

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 99,35,152

Greatest Common Factor of Numerators i.e. GCF of 99,35,152 is 1 .

LCM of Denominators means LCM of 29,242,686 as per the given fractions.

LCM of 29,242,686 is 2407174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,35,152

GCF of Fractions 99/29,35/242,152/686 is 1/2407174

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

Greatest Common Factor of 99,35,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,35,152 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 99,35,152 . The biggest common factor number is the GCF number.
So the greatest common factor 99,35,152 is 1.

Lets's calculate LCM of 29,242,686

2 29, 242, 686
29, 121, 343

∴ So the LCM of the given numbers is 2 x 29 x 121 x 343 = 2407174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2407174

Therefore, the GCF of Fractions 99/29,35/242,152/686 is 1/2407174

Least Common Multiple of 29,242,686 with GCF Formula

Least Common Multiple of 29,242,686 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 29,242,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,242,686) = 1

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

GCF(29,242,686) x common factors =1 x 2 = 2

LCM(29,242,686) = ( 29 × 242 × 686 ) / 2

LCM(29,242,686) = 4814348 / 2

LCM(29,242,686) = 2407174


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 99/29, 35/242, 152/686

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 99/29, 35/242, 152/686?

Answer: GCF of Numerators as per given numbers 99/29, 35/242, 152/686 is

GCF of Numerators i.e. for 99,35,152 is 1

LCM of denominators i.e. for 29,242,686 is 2407174.

Thus, GCF of Fractions is 1/2407174.Finally, GCF of Fractions for 99/29, 35/242, 152/686 is 1/2407174.