Greatest Common Factor of 9333/553, 6800/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9333/553, 6800/975

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 9333/553,6800/975

Given fractions are 9333/553,6800/975

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 9333,6800

Greatest Common Factor of Numerators i.e. GCF of 9333,6800 is 17 .

LCM of Denominators means LCM of 553,975 as per the given fractions.

LCM of 553,975 is 539175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9333,6800

GCF of Fractions 9333/553,6800/975 is 17/539175

17 9333, 6800
549, 400

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 9333,6800 By Matching Biggest Common Factor Method

Greatest Common Factor of 9333,6800 By Matching Biggest Common Factor Method

Factors of 9333

List of positive integer factors of 9333 that divides 9333 without a remainder.

1,3,9,17,51,61,153,183,549,1037,3111,9333

Factors of 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800

Greatest Common Factor

We found the factors 9333,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 9333,6800 is 17.

Lets's calculate LCM of 553,975

Given numbers has no common factors except 1. So, there LCM is their product i.e 539175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/539175

Therefore, the GCF of Fractions 9333/553,6800/975 is 17/539175

Least Common Multiple of 553,975 with GCF Formula

Least Common Multiple of 553,975 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 553,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,975) = 1

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

GCF(553,975) x common factors =1 x 1 = 1

LCM(553,975) = ( 553 × 975 ) / 1

LCM(553,975) = 539175 / 1

LCM(553,975) = 539175


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 9333/553, 6800/975

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 9333/553, 6800/975?

Answer: GCF of Numerators as per given numbers 9333/553, 6800/975 is

GCF of Numerators i.e. for 9333,6800 is 17

LCM of denominators i.e. for 553,975 is 539175.

Thus, GCF of Fractions is 17/539175.Finally, GCF of Fractions for 9333/553, 6800/975 is 17/539175.