Greatest Common Factor of 5893/708, 6433/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5893/708, 6433/686

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 5893/708,6433/686

Given fractions are 5893/708,6433/686

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 5893,6433

Greatest Common Factor of Numerators i.e. GCF of 5893,6433 is 1 .

LCM of Denominators means LCM of 708,686 as per the given fractions.

LCM of 708,686 is 242844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5893,6433

GCF of Fractions 5893/708,6433/686 is 1/242844

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

Greatest Common Factor of 5893,6433 By Matching Biggest Common Factor Method

Greatest Common Factor of 5893,6433 By Matching Biggest Common Factor Method

Factors of 5893

List of positive integer factors of 5893 that divides 5893 without a remainder.

1,71,83,5893

Factors of 6433

List of positive integer factors of 6433 that divides 6433 without a remainder.

1,7,919,6433

Greatest Common Factor

We found the factors 5893,6433 . The biggest common factor number is the GCF number.
So the greatest common factor 5893,6433 is 1.

Lets's calculate LCM of 708,686

2 708, 686
354, 343

∴ So the LCM of the given numbers is 2 x 354 x 343 = 242844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242844

Therefore, the GCF of Fractions 5893/708,6433/686 is 1/242844

Least Common Multiple of 708,686 with GCF Formula

Least Common Multiple of 708,686 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 708,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,686) = 2

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

GCF(708,686) x common factors =2 x 1 = 2

LCM(708,686) = ( 708 × 686 ) / 2

LCM(708,686) = 485688 / 2

LCM(708,686) = 242844


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 5893/708, 6433/686

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 5893/708, 6433/686?

Answer: GCF of Numerators as per given numbers 5893/708, 6433/686 is

GCF of Numerators i.e. for 5893,6433 is 1

LCM of denominators i.e. for 708,686 is 242844.

Thus, GCF of Fractions is 1/242844.Finally, GCF of Fractions for 5893/708, 6433/686 is 1/242844.