Greatest Common Factor of 6894/293, 8435/9409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6894/293, 8435/9409

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 6894/293,8435/9409

Given fractions are 6894/293,8435/9409

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 6894,8435

Greatest Common Factor of Numerators i.e. GCF of 6894,8435 is 1 .

LCM of Denominators means LCM of 293,9409 as per the given fractions.

LCM of 293,9409 is 2756837 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6894,8435

GCF of Fractions 6894/293,8435/9409 is 1/2756837

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

Greatest Common Factor of 6894,8435 By Matching Biggest Common Factor Method

Greatest Common Factor of 6894,8435 By Matching Biggest Common Factor Method

Factors of 6894

List of positive integer factors of 6894 that divides 6894 without a remainder.

1,2,3,6,9,18,383,766,1149,2298,3447,6894

Factors of 8435

List of positive integer factors of 8435 that divides 8435 without a remainder.

1,5,7,35,241,1205,1687,8435

Greatest Common Factor

We found the factors 6894,8435 . The biggest common factor number is the GCF number.
So the greatest common factor 6894,8435 is 1.

Lets's calculate LCM of 293,9409

Given numbers has no common factors except 1. So, there LCM is their product i.e 2756837

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2756837

Therefore, the GCF of Fractions 6894/293,8435/9409 is 1/2756837

Least Common Multiple of 293,9409 with GCF Formula

Least Common Multiple of 293,9409 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 293,9409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,9409) = 1

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

GCF(293,9409) x common factors =1 x 1 = 1

LCM(293,9409) = ( 293 × 9409 ) / 1

LCM(293,9409) = 2756837 / 1

LCM(293,9409) = 2756837


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 6894/293, 8435/9409

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 6894/293, 8435/9409?

Answer: GCF of Numerators as per given numbers 6894/293, 8435/9409 is

GCF of Numerators i.e. for 6894,8435 is 1

LCM of denominators i.e. for 293,9409 is 2756837.

Thus, GCF of Fractions is 1/2756837.Finally, GCF of Fractions for 6894/293, 8435/9409 is 1/2756837.