Greatest Common Factor of 498/96, 9600/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 498/96, 9600/998

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 498/96,9600/998

Given fractions are 498/96,9600/998

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 498,9600

Greatest Common Factor of Numerators i.e. GCF of 498,9600 is 6 .

LCM of Denominators means LCM of 96,998 as per the given fractions.

LCM of 96,998 is 47904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 498,9600

GCF of Fractions 498/96,9600/998 is 6/47904

2 498, 9600
3 249, 4800
83, 1600

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 498,9600 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,9600 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 9600

List of positive integer factors of 9600 that divides 9600 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600

Greatest Common Factor

We found the factors 498,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 498,9600 is 6.

Lets's calculate LCM of 96,998

2 96, 998
48, 499

∴ So the LCM of the given numbers is 2 x 48 x 499 = 47904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/47904

Therefore, the GCF of Fractions 498/96,9600/998 is 6/47904

Least Common Multiple of 96,998 with GCF Formula

Least Common Multiple of 96,998 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 96,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,998) = 2

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

GCF(96,998) x common factors =2 x 1 = 2

LCM(96,998) = ( 96 × 998 ) / 2

LCM(96,998) = 95808 / 2

LCM(96,998) = 47904


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 498/96, 9600/998

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 498/96, 9600/998?

Answer: GCF of Numerators as per given numbers 498/96, 9600/998 is

GCF of Numerators i.e. for 498,9600 is 6

LCM of denominators i.e. for 96,998 is 47904.

Thus, GCF of Fractions is 6/47904.Finally, GCF of Fractions for 498/96, 9600/998 is 6/47904.