Greatest Common Factor of 335/144, 7047/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 335/144, 7047/817

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 335/144,7047/817

Given fractions are 335/144,7047/817

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 335,7047

Greatest Common Factor of Numerators i.e. GCF of 335,7047 is 1 .

LCM of Denominators means LCM of 144,817 as per the given fractions.

LCM of 144,817 is 117648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 335,7047

GCF of Fractions 335/144,7047/817 is 1/117648

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

Greatest Common Factor of 335,7047 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,7047 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 7047

List of positive integer factors of 7047 that divides 7047 without a remainder.

1,3,9,27,29,81,87,243,261,783,2349,7047

Greatest Common Factor

We found the factors 335,7047 . The biggest common factor number is the GCF number.
So the greatest common factor 335,7047 is 1.

Lets's calculate LCM of 144,817

Given numbers has no common factors except 1. So, there LCM is their product i.e 117648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117648

Therefore, the GCF of Fractions 335/144,7047/817 is 1/117648

Least Common Multiple of 144,817 with GCF Formula

Least Common Multiple of 144,817 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 144,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,817) = 1

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

GCF(144,817) x common factors =1 x 1 = 1

LCM(144,817) = ( 144 × 817 ) / 1

LCM(144,817) = 117648 / 1

LCM(144,817) = 117648


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 335/144, 7047/817

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 335/144, 7047/817?

Answer: GCF of Numerators as per given numbers 335/144, 7047/817 is

GCF of Numerators i.e. for 335,7047 is 1

LCM of denominators i.e. for 144,817 is 117648.

Thus, GCF of Fractions is 1/117648.Finally, GCF of Fractions for 335/144, 7047/817 is 1/117648.