Greatest Common Factor of 665/258, 9996/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/258, 9996/889

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 665/258,9996/889

Given fractions are 665/258,9996/889

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 665,9996

Greatest Common Factor of Numerators i.e. GCF of 665,9996 is 7 .

LCM of Denominators means LCM of 258,889 as per the given fractions.

LCM of 258,889 is 229362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,9996

GCF of Fractions 665/258,9996/889 is 7/229362

7 665, 9996
95, 1428

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

Greatest Common Factor of 665,9996 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,9996 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 9996

List of positive integer factors of 9996 that divides 9996 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,49,51,68,84,98,102,119,147,196,204,238,294,357,476,588,714,833,1428,1666,2499,3332,4998,9996

Greatest Common Factor

We found the factors 665,9996 . The biggest common factor number is the GCF number.
So the greatest common factor 665,9996 is 7.

Lets's calculate LCM of 258,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 229362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/229362

Therefore, the GCF of Fractions 665/258,9996/889 is 7/229362

Least Common Multiple of 258,889 with GCF Formula

Least Common Multiple of 258,889 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 258,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,889) = 1

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

GCF(258,889) x common factors =1 x 1 = 1

LCM(258,889) = ( 258 × 889 ) / 1

LCM(258,889) = 229362 / 1

LCM(258,889) = 229362


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 665/258, 9996/889

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 665/258, 9996/889?

Answer: GCF of Numerators as per given numbers 665/258, 9996/889 is

GCF of Numerators i.e. for 665,9996 is 7

LCM of denominators i.e. for 258,889 is 229362.

Thus, GCF of Fractions is 7/229362.Finally, GCF of Fractions for 665/258, 9996/889 is 7/229362.