Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 600/200,1152/9926
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 600,1152
Greatest Common Factor of Numerators i.e. GCF of 600,1152 is 24 .
LCM of Denominators means LCM of 200,9926 as per the given fractions.
LCM of 200,9926 is 992600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 600,1152
2 | 600, 1152 |
2 | 300, 576 |
2 | 150, 288 |
3 | 75, 144 |
25, 48 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Factors of 1152
List of positive integer factors of 1152 that divides 1152 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152
Greatest Common Factor
We found the factors 600,1152 . The biggest common factor number is the GCF number.
So the greatest common factor 600,1152 is 24.
Lets's calculate LCM of 200,9926
2 | 200, 9926 |
100, 4963 |
∴ So the LCM of the given numbers is 2 x 100 x 4963 = 992600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/992600
Therefore, the GCF of Fractions 600/200,1152/9926 is 24/992600
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 200,9926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,9926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(200,9926) x common factors =2 x 1 = 2
LCM(200,9926) = ( 200 × 9926 ) / 2
LCM(200,9926) = 1985200 / 2
LCM(200,9926) = 992600
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 600/200, 1152/9926?
Answer: GCF of Numerators as per given numbers 600/200, 1152/9926 is
GCF of Numerators i.e. for 600,1152 is 24
LCM of denominators i.e. for 200,9926 is 992600.
Thus, GCF of Fractions is 24/992600.Finally, GCF of Fractions for 600/200, 1152/9926 is 24/992600.