Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8191/33,6144/790
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 8191,6144
Greatest Common Factor of Numerators i.e. GCF of 8191,6144 is 1 .
LCM of Denominators means LCM of 33,790 as per the given fractions.
LCM of 33,790 is 26070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8191,6144
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8191
List of positive integer factors of 8191 that divides 8191 without a remainder.
1,8191
Factors of 6144
List of positive integer factors of 6144 that divides 6144 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,2048,3072,6144
Greatest Common Factor
We found the factors 8191,6144 . The biggest common factor number is the GCF number.
So the greatest common factor 8191,6144 is 1.
Lets's calculate LCM of 33,790
Given numbers has no common factors except 1. So, there LCM is their product i.e 26070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26070
Therefore, the GCF of Fractions 8191/33,6144/790 is 1/26070
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 33,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,790) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,790) x common factors =1 x 1 = 1
LCM(33,790) = ( 33 × 790 ) / 1
LCM(33,790) = 26070 / 1
LCM(33,790) = 26070
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 8191/33, 6144/790?
Answer: GCF of Numerators as per given numbers 8191/33, 6144/790 is
GCF of Numerators i.e. for 8191,6144 is 1
LCM of denominators i.e. for 33,790 is 26070.
Thus, GCF of Fractions is 1/26070.Finally, GCF of Fractions for 8191/33, 6144/790 is 1/26070.