Greatest Common Factor of 8433/259, 6683/1085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8433/259, 6683/1085

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 8433/259,6683/1085

Given fractions are 8433/259,6683/1085

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 8433,6683

Greatest Common Factor of Numerators i.e. GCF of 8433,6683 is 1 .

LCM of Denominators means LCM of 259,1085 as per the given fractions.

LCM of 259,1085 is 40145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8433,6683

GCF of Fractions 8433/259,6683/1085 is 1/40145

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

Greatest Common Factor of 8433,6683 By Matching Biggest Common Factor Method

Greatest Common Factor of 8433,6683 By Matching Biggest Common Factor Method

Factors of 8433

List of positive integer factors of 8433 that divides 8433 without a remainder.

1,3,9,937,2811,8433

Factors of 6683

List of positive integer factors of 6683 that divides 6683 without a remainder.

1,41,163,6683

Greatest Common Factor

We found the factors 8433,6683 . The biggest common factor number is the GCF number.
So the greatest common factor 8433,6683 is 1.

Lets's calculate LCM of 259,1085

7 259, 1085
37, 155

∴ So the LCM of the given numbers is 7 x 37 x 155 = 40145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40145

Therefore, the GCF of Fractions 8433/259,6683/1085 is 1/40145

Least Common Multiple of 259,1085 with GCF Formula

Least Common Multiple of 259,1085 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 259,1085 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,1085) = 7

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

GCF(259,1085) x common factors =7 x 1 = 7

LCM(259,1085) = ( 259 × 1085 ) / 7

LCM(259,1085) = 281015 / 7

LCM(259,1085) = 40145


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 8433/259, 6683/1085

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 8433/259, 6683/1085?

Answer: GCF of Numerators as per given numbers 8433/259, 6683/1085 is

GCF of Numerators i.e. for 8433,6683 is 1

LCM of denominators i.e. for 259,1085 is 40145.

Thus, GCF of Fractions is 1/40145.Finally, GCF of Fractions for 8433/259, 6683/1085 is 1/40145.