Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8192/65,3988/954
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 8192,3988
Greatest Common Factor of Numerators i.e. GCF of 8192,3988 is 4 .
LCM of Denominators means LCM of 65,954 as per the given fractions.
LCM of 65,954 is 62010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8192,3988
2 | 8192, 3988 |
2 | 4096, 1994 |
2048, 997 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8192
List of positive integer factors of 8192 that divides 8192 without a remainder.
1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192
Factors of 3988
List of positive integer factors of 3988 that divides 3988 without a remainder.
1,2,4,997,1994,3988
Greatest Common Factor
We found the factors 8192,3988 . The biggest common factor number is the GCF number.
So the greatest common factor 8192,3988 is 4.
Lets's calculate LCM of 65,954
Given numbers has no common factors except 1. So, there LCM is their product i.e 62010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/62010
Therefore, the GCF of Fractions 8192/65,3988/954 is 4/62010
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 65,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,954) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,954) x common factors =1 x 1 = 1
LCM(65,954) = ( 65 × 954 ) / 1
LCM(65,954) = 62010 / 1
LCM(65,954) = 62010
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 8192/65, 3988/954?
Answer: GCF of Numerators as per given numbers 8192/65, 3988/954 is
GCF of Numerators i.e. for 8192,3988 is 4
LCM of denominators i.e. for 65,954 is 62010.
Thus, GCF of Fractions is 4/62010.Finally, GCF of Fractions for 8192/65, 3988/954 is 4/62010.