Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9016/985,9055/865
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 9016,9055
Greatest Common Factor of Numerators i.e. GCF of 9016,9055 is 1 .
LCM of Denominators means LCM of 985,865 as per the given fractions.
LCM of 985,865 is 170405 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9016,9055
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9016
List of positive integer factors of 9016 that divides 9016 without a remainder.
1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Factors of 9055
List of positive integer factors of 9055 that divides 9055 without a remainder.
1,5,1811,9055
Greatest Common Factor
We found the factors 9016,9055 . The biggest common factor number is the GCF number.
So the greatest common factor 9016,9055 is 1.
Lets's calculate LCM of 985,865
5 | 985, 865 |
197, 173 |
∴ So the LCM of the given numbers is 5 x 197 x 173 = 170405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170405
Therefore, the GCF of Fractions 9016/985,9055/865 is 1/170405
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 985,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(985,865) x common factors =5 x 1 = 5
LCM(985,865) = ( 985 × 865 ) / 5
LCM(985,865) = 852025 / 5
LCM(985,865) = 170405
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 9016/985, 9055/865?
Answer: GCF of Numerators as per given numbers 9016/985, 9055/865 is
GCF of Numerators i.e. for 9016,9055 is 1
LCM of denominators i.e. for 985,865 is 170405.
Thus, GCF of Fractions is 1/170405.Finally, GCF of Fractions for 9016/985, 9055/865 is 1/170405.