Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 463/13,419/10,960/864
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 463,419,960
Greatest Common Factor of Numerators i.e. GCF of 463,419,960 is 1 .
LCM of Denominators means LCM of 13,10,864 as per the given fractions.
LCM of 13,10,864 is 56160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 463,419,960
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 463,419,960 . The biggest common factor number is the GCF number.
So the greatest common factor 463,419,960 is 1.
Lets's calculate LCM of 13,10,864
2 | 13, 10, 864 |
13, 5, 432 |
∴ So the LCM of the given numbers is 2 x 13 x 5 x 432 = 56160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56160
Therefore, the GCF of Fractions 463/13,419/10,960/864 is 1/56160
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 13,10,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,10,864) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(13,10,864) x common factors =1 x 2 = 2
LCM(13,10,864) = ( 13 × 10 × 864 ) / 2
LCM(13,10,864) = 112320 / 2
LCM(13,10,864) = 56160
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 463/13, 419/10, 960/864?
Answer: GCF of Numerators as per given numbers 463/13, 419/10, 960/864 is
GCF of Numerators i.e. for 463,419,960 is 1
LCM of denominators i.e. for 13,10,864 is 56160.
Thus, GCF of Fractions is 1/56160.Finally, GCF of Fractions for 463/13, 419/10, 960/864 is 1/56160.