Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/303,1080/7453
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 96,1080
Greatest Common Factor of Numerators i.e. GCF of 96,1080 is 24 .
LCM of Denominators means LCM of 303,7453 as per the given fractions.
LCM of 303,7453 is 2258259 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,1080
2 | 96, 1080 |
2 | 48, 540 |
2 | 24, 270 |
3 | 12, 135 |
4, 45 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 1080
List of positive integer factors of 1080 that divides 1080 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,90,108,120,135,180,216,270,360,540,1080
Greatest Common Factor
We found the factors 96,1080 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1080 is 24.
Lets's calculate LCM of 303,7453
Given numbers has no common factors except 1. So, there LCM is their product i.e 2258259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/2258259
Therefore, the GCF of Fractions 96/303,1080/7453 is 24/2258259
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 303,7453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,7453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,7453) x common factors =1 x 1 = 1
LCM(303,7453) = ( 303 × 7453 ) / 1
LCM(303,7453) = 2258259 / 1
LCM(303,7453) = 2258259
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 96/303, 1080/7453?
Answer: GCF of Numerators as per given numbers 96/303, 1080/7453 is
GCF of Numerators i.e. for 96,1080 is 24
LCM of denominators i.e. for 303,7453 is 2258259.
Thus, GCF of Fractions is 24/2258259.Finally, GCF of Fractions for 96/303, 1080/7453 is 24/2258259.