Greatest Common Factor of 6664/706, 5439/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6664/706, 5439/998

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 6664/706,5439/998

Given fractions are 6664/706,5439/998

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 6664,5439

Greatest Common Factor of Numerators i.e. GCF of 6664,5439 is 49 .

LCM of Denominators means LCM of 706,998 as per the given fractions.

LCM of 706,998 is 352294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6664,5439

GCF of Fractions 6664/706,5439/998 is 49/352294

7 6664, 5439
7 952, 777
136, 111

∴ So the GCF of the given numbers is 7 x 7 = 49

Greatest Common Factor of 6664,5439 By Matching Biggest Common Factor Method

Greatest Common Factor of 6664,5439 By Matching Biggest Common Factor Method

Factors of 6664

List of positive integer factors of 6664 that divides 6664 without a remainder.

1,2,4,7,8,14,17,28,34,49,56,68,98,119,136,196,238,392,476,833,952,1666,3332,6664

Factors of 5439

List of positive integer factors of 5439 that divides 5439 without a remainder.

1,3,7,21,37,49,111,147,259,777,1813,5439

Greatest Common Factor

We found the factors 6664,5439 . The biggest common factor number is the GCF number.
So the greatest common factor 6664,5439 is 49.

Lets's calculate LCM of 706,998

2 706, 998
353, 499

∴ So the LCM of the given numbers is 2 x 353 x 499 = 352294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/352294

Therefore, the GCF of Fractions 6664/706,5439/998 is 49/352294

Least Common Multiple of 706,998 with GCF Formula

Least Common Multiple of 706,998 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 706,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,998) = 2

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

GCF(706,998) x common factors =2 x 1 = 2

LCM(706,998) = ( 706 × 998 ) / 2

LCM(706,998) = 704588 / 2

LCM(706,998) = 352294


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 6664/706, 5439/998

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 6664/706, 5439/998?

Answer: GCF of Numerators as per given numbers 6664/706, 5439/998 is

GCF of Numerators i.e. for 6664,5439 is 49

LCM of denominators i.e. for 706,998 is 352294.

Thus, GCF of Fractions is 49/352294.Finally, GCF of Fractions for 6664/706, 5439/998 is 49/352294.