Greatest Common Factor of 299/50, 311/3540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/50, 311/3540

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 299/50,311/3540

Given fractions are 299/50,311/3540

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 299,311

Greatest Common Factor of Numerators i.e. GCF of 299,311 is 1 .

LCM of Denominators means LCM of 50,3540 as per the given fractions.

LCM of 50,3540 is 17700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,311

GCF of Fractions 299/50,311/3540 is 1/17700

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

Greatest Common Factor of 299,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,311 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 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 299,311 . The biggest common factor number is the GCF number.
So the greatest common factor 299,311 is 1.

Lets's calculate LCM of 50,3540

2 50, 3540
5 25, 1770
5, 354

∴ So the LCM of the given numbers is 2 x 5 x 5 x 354 = 17700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17700

Therefore, the GCF of Fractions 299/50,311/3540 is 1/17700

Least Common Multiple of 50,3540 with GCF Formula

Least Common Multiple of 50,3540 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 50,3540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,3540) = 10

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

GCF(50,3540) x common factors =10 x 1 = 10

LCM(50,3540) = ( 50 × 3540 ) / 10

LCM(50,3540) = 177000 / 10

LCM(50,3540) = 17700


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 299/50, 311/3540

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 299/50, 311/3540?

Answer: GCF of Numerators as per given numbers 299/50, 311/3540 is

GCF of Numerators i.e. for 299,311 is 1

LCM of denominators i.e. for 50,3540 is 17700.

Thus, GCF of Fractions is 1/17700.Finally, GCF of Fractions for 299/50, 311/3540 is 1/17700.