Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 216/997,515/582,308/712
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 216,515,308
Greatest Common Factor of Numerators i.e. GCF of 216,515,308 is 1 .
LCM of Denominators means LCM of 997,582,712 as per the given fractions.
LCM of 997,582,712 is 206570424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 216,515,308
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 216,515,308 . The biggest common factor number is the GCF number.
So the greatest common factor 216,515,308 is 1.
Lets's calculate LCM of 997,582,712
2 | 997, 582, 712 |
997, 291, 356 |
∴ So the LCM of the given numbers is 2 x 997 x 291 x 356 = 206570424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206570424
Therefore, the GCF of Fractions 216/997,515/582,308/712 is 1/206570424
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 997,582,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,582,712) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(997,582,712) x common factors =1 x 2 = 2
LCM(997,582,712) = ( 997 × 582 × 712 ) / 2
LCM(997,582,712) = 413140848 / 2
LCM(997,582,712) = 206570424
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 216/997, 515/582, 308/712?
Answer: GCF of Numerators as per given numbers 216/997, 515/582, 308/712 is
GCF of Numerators i.e. for 216,515,308 is 1
LCM of denominators i.e. for 997,582,712 is 206570424.
Thus, GCF of Fractions is 1/206570424.Finally, GCF of Fractions for 216/997, 515/582, 308/712 is 1/206570424.