Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 983/96,505/48,215/484
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 983,505,215
Greatest Common Factor of Numerators i.e. GCF of 983,505,215 is 1 .
LCM of Denominators means LCM of 96,48,484 as per the given fractions.
LCM of 96,48,484 is 11616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 983,505,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Greatest Common Factor
We found the factors 983,505,215 . The biggest common factor number is the GCF number.
So the greatest common factor 983,505,215 is 1.
Lets's calculate LCM of 96,48,484
2 | 96, 48, 484 |
2 | 48, 24, 242 |
2 | 12, 24, 121 |
2 | 6, 12, 121 |
3 | 3, 6, 121 |
1, 2, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 2 x 121 = 11616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11616
Therefore, the GCF of Fractions 983/96,505/48,215/484 is 1/11616
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 96,48,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,48,484) = 4
common factors(in case of two or more numbers have common factors) = 48
GCF(96,48,484) x common factors =4 x 48 = 192
LCM(96,48,484) = ( 96 × 48 × 484 ) / 192
LCM(96,48,484) = 2230272 / 192
LCM(96,48,484) = 11616
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 983/96, 505/48, 215/484?
Answer: GCF of Numerators as per given numbers 983/96, 505/48, 215/484 is
GCF of Numerators i.e. for 983,505,215 is 1
LCM of denominators i.e. for 96,48,484 is 11616.
Thus, GCF of Fractions is 1/11616.Finally, GCF of Fractions for 983/96, 505/48, 215/484 is 1/11616.