Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/289,446/825
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 110,446
Greatest Common Factor of Numerators i.e. GCF of 110,446 is 2 .
LCM of Denominators means LCM of 289,825 as per the given fractions.
LCM of 289,825 is 238425 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,446
2 | 110, 446 |
55, 223 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors 110,446 . The biggest common factor number is the GCF number.
So the greatest common factor 110,446 is 2.
Lets's calculate LCM of 289,825
Given numbers has no common factors except 1. So, there LCM is their product i.e 238425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/238425
Therefore, the GCF of Fractions 110/289,446/825 is 2/238425
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 289,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,825) x common factors =1 x 1 = 1
LCM(289,825) = ( 289 × 825 ) / 1
LCM(289,825) = 238425 / 1
LCM(289,825) = 238425
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 110/289, 446/825?
Answer: GCF of Numerators as per given numbers 110/289, 446/825 is
GCF of Numerators i.e. for 110,446 is 2
LCM of denominators i.e. for 289,825 is 238425.
Thus, GCF of Fractions is 2/238425.Finally, GCF of Fractions for 110/289, 446/825 is 2/238425.