Greatest Common Factor of 9698/223, 3200/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9698/223, 3200/268

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 9698/223,3200/268

Given fractions are 9698/223,3200/268

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 9698,3200

Greatest Common Factor of Numerators i.e. GCF of 9698,3200 is 2 .

LCM of Denominators means LCM of 223,268 as per the given fractions.

LCM of 223,268 is 59764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9698,3200

GCF of Fractions 9698/223,3200/268 is 2/59764

2 9698, 3200
4849, 1600

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9698,3200 By Matching Biggest Common Factor Method

Greatest Common Factor of 9698,3200 By Matching Biggest Common Factor Method

Factors of 9698

List of positive integer factors of 9698 that divides 9698 without a remainder.

1,2,13,26,373,746,4849,9698

Factors of 3200

List of positive integer factors of 3200 that divides 3200 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,320,400,640,800,1600,3200

Greatest Common Factor

We found the factors 9698,3200 . The biggest common factor number is the GCF number.
So the greatest common factor 9698,3200 is 2.

Lets's calculate LCM of 223,268

Given numbers has no common factors except 1. So, there LCM is their product i.e 59764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59764

Therefore, the GCF of Fractions 9698/223,3200/268 is 2/59764

Least Common Multiple of 223,268 with GCF Formula

Least Common Multiple of 223,268 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 223,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,268) = 1

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

GCF(223,268) x common factors =1 x 1 = 1

LCM(223,268) = ( 223 × 268 ) / 1

LCM(223,268) = 59764 / 1

LCM(223,268) = 59764


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 9698/223, 3200/268

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 9698/223, 3200/268?

Answer: GCF of Numerators as per given numbers 9698/223, 3200/268 is

GCF of Numerators i.e. for 9698,3200 is 2

LCM of denominators i.e. for 223,268 is 59764.

Thus, GCF of Fractions is 2/59764.Finally, GCF of Fractions for 9698/223, 3200/268 is 2/59764.