Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/870,515/189,968/267
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 14,515,968
Greatest Common Factor of Numerators i.e. GCF of 14,515,968 is 1 .
LCM of Denominators means LCM of 870,189,267 as per the given fractions.
LCM of 870,189,267 is 4878090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,515,968
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 14,515,968 . The biggest common factor number is the GCF number.
So the greatest common factor 14,515,968 is 1.
Lets's calculate LCM of 870,189,267
3 | 870, 189, 267 |
290, 63, 89 |
∴ So the LCM of the given numbers is 3 x 290 x 63 x 89 = 4878090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4878090
Therefore, the GCF of Fractions 14/870,515/189,968/267 is 1/4878090
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 870,189,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,189,267) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(870,189,267) x common factors =3 x 3 = 9
LCM(870,189,267) = ( 870 × 189 × 267 ) / 9
LCM(870,189,267) = 43902810 / 9
LCM(870,189,267) = 4878090
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 14/870, 515/189, 968/267?
Answer: GCF of Numerators as per given numbers 14/870, 515/189, 968/267 is
GCF of Numerators i.e. for 14,515,968 is 1
LCM of denominators i.e. for 870,189,267 is 4878090.
Thus, GCF of Fractions is 1/4878090.Finally, GCF of Fractions for 14/870, 515/189, 968/267 is 1/4878090.