Greatest Common Factor of 99/34, 979/65, 119/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/34, 979/65, 119/296

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 99/34,979/65,119/296

Given fractions are 99/34,979/65,119/296

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 99,979,119

Greatest Common Factor of Numerators i.e. GCF of 99,979,119 is 1 .

LCM of Denominators means LCM of 34,65,296 as per the given fractions.

LCM of 34,65,296 is 327080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,979,119

GCF of Fractions 99/34,979/65,119/296 is 1/327080

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

Greatest Common Factor of 99,979,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,979,119 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 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 99,979,119 . The biggest common factor number is the GCF number.
So the greatest common factor 99,979,119 is 1.

Lets's calculate LCM of 34,65,296

2 34, 65, 296
17, 65, 148

∴ So the LCM of the given numbers is 2 x 17 x 65 x 148 = 327080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327080

Therefore, the GCF of Fractions 99/34,979/65,119/296 is 1/327080

Least Common Multiple of 34,65,296 with GCF Formula

Least Common Multiple of 34,65,296 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 34,65,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,65,296) = 1

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

GCF(34,65,296) x common factors =1 x 2 = 2

LCM(34,65,296) = ( 34 × 65 × 296 ) / 2

LCM(34,65,296) = 654160 / 2

LCM(34,65,296) = 327080


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 99/34, 979/65, 119/296

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 99/34, 979/65, 119/296?

Answer: GCF of Numerators as per given numbers 99/34, 979/65, 119/296 is

GCF of Numerators i.e. for 99,979,119 is 1

LCM of denominators i.e. for 34,65,296 is 327080.

Thus, GCF of Fractions is 1/327080.Finally, GCF of Fractions for 99/34, 979/65, 119/296 is 1/327080.