Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9600/260,1329/375
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 9600,1329
Greatest Common Factor of Numerators i.e. GCF of 9600,1329 is 3 .
LCM of Denominators means LCM of 260,375 as per the given fractions.
LCM of 260,375 is 19500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9600,1329
3 | 9600, 1329 |
3200, 443 |
∴ So the GCF of the given numbers is 3 = 3
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
Factors of 1329
List of positive integer factors of 1329 that divides 1329 without a remainder.
1,3,443,1329
Greatest Common Factor
We found the factors 9600,1329 . The biggest common factor number is the GCF number.
So the greatest common factor 9600,1329 is 3.
Lets's calculate LCM of 260,375
5 | 260, 375 |
52, 75 |
∴ So the LCM of the given numbers is 5 x 52 x 75 = 19500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19500
Therefore, the GCF of Fractions 9600/260,1329/375 is 3/19500
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 260,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,375) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(260,375) x common factors =5 x 1 = 5
LCM(260,375) = ( 260 × 375 ) / 5
LCM(260,375) = 97500 / 5
LCM(260,375) = 19500
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 9600/260, 1329/375?
Answer: GCF of Numerators as per given numbers 9600/260, 1329/375 is
GCF of Numerators i.e. for 9600,1329 is 3
LCM of denominators i.e. for 260,375 is 19500.
Thus, GCF of Fractions is 3/19500.Finally, GCF of Fractions for 9600/260, 1329/375 is 3/19500.