Greatest Common Factor of 299/351, 9119/5959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/351, 9119/5959

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 299/351,9119/5959

Given fractions are 299/351,9119/5959

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 299,9119

Greatest Common Factor of Numerators i.e. GCF of 299,9119 is 1 .

LCM of Denominators means LCM of 351,5959 as per the given fractions.

LCM of 351,5959 is 2091609 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,9119

GCF of Fractions 299/351,9119/5959 is 1/2091609

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

Greatest Common Factor of 299,9119 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,9119 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 9119

List of positive integer factors of 9119 that divides 9119 without a remainder.

1,11,829,9119

Greatest Common Factor

We found the factors 299,9119 . The biggest common factor number is the GCF number.
So the greatest common factor 299,9119 is 1.

Lets's calculate LCM of 351,5959

Given numbers has no common factors except 1. So, there LCM is their product i.e 2091609

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2091609

Therefore, the GCF of Fractions 299/351,9119/5959 is 1/2091609

Least Common Multiple of 351,5959 with GCF Formula

Least Common Multiple of 351,5959 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 351,5959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,5959) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(351,5959) x common factors =1 x 1 = 1

LCM(351,5959) = ( 351 × 5959 ) / 1

LCM(351,5959) = 2091609 / 1

LCM(351,5959) = 2091609


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 299/351, 9119/5959

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 299/351, 9119/5959?

Answer: GCF of Numerators as per given numbers 299/351, 9119/5959 is

GCF of Numerators i.e. for 299,9119 is 1

LCM of denominators i.e. for 351,5959 is 2091609.

Thus, GCF of Fractions is 1/2091609.Finally, GCF of Fractions for 299/351, 9119/5959 is 1/2091609.