Greatest Common Factor of 299/69, 350/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/69, 350/605

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 299/69,350/605

Given fractions are 299/69,350/605

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 299,350

Greatest Common Factor of Numerators i.e. GCF of 299,350 is 1 .

LCM of Denominators means LCM of 69,605 as per the given fractions.

LCM of 69,605 is 41745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,350

GCF of Fractions 299/69,350/605 is 1/41745

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

Greatest Common Factor of 299,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,350 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 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 299,350 . The biggest common factor number is the GCF number.
So the greatest common factor 299,350 is 1.

Lets's calculate LCM of 69,605

Given numbers has no common factors except 1. So, there LCM is their product i.e 41745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41745

Therefore, the GCF of Fractions 299/69,350/605 is 1/41745

Least Common Multiple of 69,605 with GCF Formula

Least Common Multiple of 69,605 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 69,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,605) = 1

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

GCF(69,605) x common factors =1 x 1 = 1

LCM(69,605) = ( 69 × 605 ) / 1

LCM(69,605) = 41745 / 1

LCM(69,605) = 41745


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 299/69, 350/605

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 299/69, 350/605?

Answer: GCF of Numerators as per given numbers 299/69, 350/605 is

GCF of Numerators i.e. for 299,350 is 1

LCM of denominators i.e. for 69,605 is 41745.

Thus, GCF of Fractions is 1/41745.Finally, GCF of Fractions for 299/69, 350/605 is 1/41745.