Greatest Common Factor of 805/419, 5966/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 805/419, 5966/144

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 805/419,5966/144

Given fractions are 805/419,5966/144

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 805,5966

Greatest Common Factor of Numerators i.e. GCF of 805,5966 is 1 .

LCM of Denominators means LCM of 419,144 as per the given fractions.

LCM of 419,144 is 60336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 805,5966

GCF of Fractions 805/419,5966/144 is 1/60336

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

Greatest Common Factor of 805,5966 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,5966 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 5966

List of positive integer factors of 5966 that divides 5966 without a remainder.

1,2,19,38,157,314,2983,5966

Greatest Common Factor

We found the factors 805,5966 . The biggest common factor number is the GCF number.
So the greatest common factor 805,5966 is 1.

Lets's calculate LCM of 419,144

Given numbers has no common factors except 1. So, there LCM is their product i.e 60336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60336

Therefore, the GCF of Fractions 805/419,5966/144 is 1/60336

Least Common Multiple of 419,144 with GCF Formula

Least Common Multiple of 419,144 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 419,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,144) = 1

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

GCF(419,144) x common factors =1 x 1 = 1

LCM(419,144) = ( 419 × 144 ) / 1

LCM(419,144) = 60336 / 1

LCM(419,144) = 60336


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 805/419, 5966/144

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 805/419, 5966/144?

Answer: GCF of Numerators as per given numbers 805/419, 5966/144 is

GCF of Numerators i.e. for 805,5966 is 1

LCM of denominators i.e. for 419,144 is 60336.

Thus, GCF of Fractions is 1/60336.Finally, GCF of Fractions for 805/419, 5966/144 is 1/60336.