Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9112/458,5663/6666
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 9112,5663
Greatest Common Factor of Numerators i.e. GCF of 9112,5663 is 1 .
LCM of Denominators means LCM of 458,6666 as per the given fractions.
LCM of 458,6666 is 1526514 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9112,5663
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9112
List of positive integer factors of 9112 that divides 9112 without a remainder.
1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112
Factors of 5663
List of positive integer factors of 5663 that divides 5663 without a remainder.
1,7,809,5663
Greatest Common Factor
We found the factors 9112,5663 . The biggest common factor number is the GCF number.
So the greatest common factor 9112,5663 is 1.
Lets's calculate LCM of 458,6666
2 | 458, 6666 |
229, 3333 |
∴ So the LCM of the given numbers is 2 x 229 x 3333 = 1526514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1526514
Therefore, the GCF of Fractions 9112/458,5663/6666 is 1/1526514
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 458,6666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,6666) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,6666) x common factors =2 x 1 = 2
LCM(458,6666) = ( 458 × 6666 ) / 2
LCM(458,6666) = 3053028 / 2
LCM(458,6666) = 1526514
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 9112/458, 5663/6666?
Answer: GCF of Numerators as per given numbers 9112/458, 5663/6666 is
GCF of Numerators i.e. for 9112,5663 is 1
LCM of denominators i.e. for 458,6666 is 1526514.
Thus, GCF of Fractions is 1/1526514.Finally, GCF of Fractions for 9112/458, 5663/6666 is 1/1526514.