Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/73,911/8192
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 110,911
Greatest Common Factor of Numerators i.e. GCF of 110,911 is 1 .
LCM of Denominators means LCM of 73,8192 as per the given fractions.
LCM of 73,8192 is 598016 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,911
∴ So GCF of numbers is 1 because of no common factors present between them.
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 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Greatest Common Factor
We found the factors 110,911 . The biggest common factor number is the GCF number.
So the greatest common factor 110,911 is 1.
Lets's calculate LCM of 73,8192
Given numbers has no common factors except 1. So, there LCM is their product i.e 598016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598016
Therefore, the GCF of Fractions 110/73,911/8192 is 1/598016
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 73,8192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,8192) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,8192) x common factors =1 x 1 = 1
LCM(73,8192) = ( 73 × 8192 ) / 1
LCM(73,8192) = 598016 / 1
LCM(73,8192) = 598016
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 110/73, 911/8192?
Answer: GCF of Numerators as per given numbers 110/73, 911/8192 is
GCF of Numerators i.e. for 110,911 is 1
LCM of denominators i.e. for 73,8192 is 598016.
Thus, GCF of Fractions is 1/598016.Finally, GCF of Fractions for 110/73, 911/8192 is 1/598016.