Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 271/60,863/96,413/705
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 271,863,413
Greatest Common Factor of Numerators i.e. GCF of 271,863,413 is 1 .
LCM of Denominators means LCM of 60,96,705 as per the given fractions.
LCM of 60,96,705 is 22560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 271,863,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Greatest Common Factor
We found the factors 271,863,413 . The biggest common factor number is the GCF number.
So the greatest common factor 271,863,413 is 1.
Lets's calculate LCM of 60,96,705
2 | 60, 96, 705 |
2 | 30, 48, 705 |
3 | 15, 24, 705 |
5 | 5, 8, 235 |
1, 8, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 8 x 47 = 22560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22560
Therefore, the GCF of Fractions 271/60,863/96,413/705 is 1/22560
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 60,96,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,96,705) = 3
common factors(in case of two or more numbers have common factors) = 60
GCF(60,96,705) x common factors =3 x 60 = 180
LCM(60,96,705) = ( 60 × 96 × 705 ) / 180
LCM(60,96,705) = 4060800 / 180
LCM(60,96,705) = 22560
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 271/60, 863/96, 413/705?
Answer: GCF of Numerators as per given numbers 271/60, 863/96, 413/705 is
GCF of Numerators i.e. for 271,863,413 is 1
LCM of denominators i.e. for 60,96,705 is 22560.
Thus, GCF of Fractions is 1/22560.Finally, GCF of Fractions for 271/60, 863/96, 413/705 is 1/22560.