Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8388/445,7201/7886
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 8388,7201
Greatest Common Factor of Numerators i.e. GCF of 8388,7201 is 1 .
LCM of Denominators means LCM of 445,7886 as per the given fractions.
LCM of 445,7886 is 3509270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8388,7201
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8388
List of positive integer factors of 8388 that divides 8388 without a remainder.
1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388
Factors of 7201
List of positive integer factors of 7201 that divides 7201 without a remainder.
1,19,379,7201
Greatest Common Factor
We found the factors 8388,7201 . The biggest common factor number is the GCF number.
So the greatest common factor 8388,7201 is 1.
Lets's calculate LCM of 445,7886
Given numbers has no common factors except 1. So, there LCM is their product i.e 3509270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3509270
Therefore, the GCF of Fractions 8388/445,7201/7886 is 1/3509270
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 445,7886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,7886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,7886) x common factors =1 x 1 = 1
LCM(445,7886) = ( 445 × 7886 ) / 1
LCM(445,7886) = 3509270 / 1
LCM(445,7886) = 3509270
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 8388/445, 7201/7886?
Answer: GCF of Numerators as per given numbers 8388/445, 7201/7886 is
GCF of Numerators i.e. for 8388,7201 is 1
LCM of denominators i.e. for 445,7886 is 3509270.
Thus, GCF of Fractions is 1/3509270.Finally, GCF of Fractions for 8388/445, 7201/7886 is 1/3509270.