Greatest Common Factor of 5599/825, 6647/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5599/825, 6647/313

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 5599/825,6647/313

Given fractions are 5599/825,6647/313

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 5599,6647

Greatest Common Factor of Numerators i.e. GCF of 5599,6647 is 1 .

LCM of Denominators means LCM of 825,313 as per the given fractions.

LCM of 825,313 is 258225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5599,6647

GCF of Fractions 5599/825,6647/313 is 1/258225

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

Greatest Common Factor of 5599,6647 By Matching Biggest Common Factor Method

Greatest Common Factor of 5599,6647 By Matching Biggest Common Factor Method

Factors of 5599

List of positive integer factors of 5599 that divides 5599 without a remainder.

1,11,509,5599

Factors of 6647

List of positive integer factors of 6647 that divides 6647 without a remainder.

1,17,23,289,391,6647

Greatest Common Factor

We found the factors 5599,6647 . The biggest common factor number is the GCF number.
So the greatest common factor 5599,6647 is 1.

Lets's calculate LCM of 825,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 258225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258225

Therefore, the GCF of Fractions 5599/825,6647/313 is 1/258225

Least Common Multiple of 825,313 with GCF Formula

Least Common Multiple of 825,313 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 825,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,313) = 1

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

GCF(825,313) x common factors =1 x 1 = 1

LCM(825,313) = ( 825 × 313 ) / 1

LCM(825,313) = 258225 / 1

LCM(825,313) = 258225


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 5599/825, 6647/313

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 5599/825, 6647/313?

Answer: GCF of Numerators as per given numbers 5599/825, 6647/313 is

GCF of Numerators i.e. for 5599,6647 is 1

LCM of denominators i.e. for 825,313 is 258225.

Thus, GCF of Fractions is 1/258225.Finally, GCF of Fractions for 5599/825, 6647/313 is 1/258225.