Greatest Common Factor of 4091/16, 6942/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4091/16, 6942/489

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 4091/16,6942/489

Given fractions are 4091/16,6942/489

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 4091,6942

Greatest Common Factor of Numerators i.e. GCF of 4091,6942 is 1 .

LCM of Denominators means LCM of 16,489 as per the given fractions.

LCM of 16,489 is 7824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4091,6942

GCF of Fractions 4091/16,6942/489 is 1/7824

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

Greatest Common Factor of 4091,6942 By Matching Biggest Common Factor Method

Greatest Common Factor of 4091,6942 By Matching Biggest Common Factor Method

Factors of 4091

List of positive integer factors of 4091 that divides 4091 without a remainder.

1,4091

Factors of 6942

List of positive integer factors of 6942 that divides 6942 without a remainder.

1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942

Greatest Common Factor

We found the factors 4091,6942 . The biggest common factor number is the GCF number.
So the greatest common factor 4091,6942 is 1.

Lets's calculate LCM of 16,489

Given numbers has no common factors except 1. So, there LCM is their product i.e 7824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7824

Therefore, the GCF of Fractions 4091/16,6942/489 is 1/7824

Least Common Multiple of 16,489 with GCF Formula

Least Common Multiple of 16,489 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 16,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,489) = 1

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

GCF(16,489) x common factors =1 x 1 = 1

LCM(16,489) = ( 16 × 489 ) / 1

LCM(16,489) = 7824 / 1

LCM(16,489) = 7824


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 4091/16, 6942/489

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 4091/16, 6942/489?

Answer: GCF of Numerators as per given numbers 4091/16, 6942/489 is

GCF of Numerators i.e. for 4091,6942 is 1

LCM of denominators i.e. for 16,489 is 7824.

Thus, GCF of Fractions is 1/7824.Finally, GCF of Fractions for 4091/16, 6942/489 is 1/7824.