Greatest Common Factor of 4919/206, 6966/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4919/206, 6966/271

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 4919/206,6966/271

Given fractions are 4919/206,6966/271

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 4919,6966

Greatest Common Factor of Numerators i.e. GCF of 4919,6966 is 1 .

LCM of Denominators means LCM of 206,271 as per the given fractions.

LCM of 206,271 is 55826 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4919,6966

GCF of Fractions 4919/206,6966/271 is 1/55826

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

Greatest Common Factor of 4919,6966 By Matching Biggest Common Factor Method

Greatest Common Factor of 4919,6966 By Matching Biggest Common Factor Method

Factors of 4919

List of positive integer factors of 4919 that divides 4919 without a remainder.

1,4919

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966

Greatest Common Factor

We found the factors 4919,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 4919,6966 is 1.

Lets's calculate LCM of 206,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 55826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55826

Therefore, the GCF of Fractions 4919/206,6966/271 is 1/55826

Least Common Multiple of 206,271 with GCF Formula

Least Common Multiple of 206,271 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 206,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,271) = 1

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

GCF(206,271) x common factors =1 x 1 = 1

LCM(206,271) = ( 206 × 271 ) / 1

LCM(206,271) = 55826 / 1

LCM(206,271) = 55826


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 4919/206, 6966/271

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 4919/206, 6966/271?

Answer: GCF of Numerators as per given numbers 4919/206, 6966/271 is

GCF of Numerators i.e. for 4919,6966 is 1

LCM of denominators i.e. for 206,271 is 55826.

Thus, GCF of Fractions is 1/55826.Finally, GCF of Fractions for 4919/206, 6966/271 is 1/55826.