Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3946/645,3994/5056
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 3946,3994
Greatest Common Factor of Numerators i.e. GCF of 3946,3994 is 2 .
LCM of Denominators means LCM of 645,5056 as per the given fractions.
LCM of 645,5056 is 3261120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3946,3994
2 | 3946, 3994 |
1973, 1997 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3946
List of positive integer factors of 3946 that divides 3946 without a remainder.
1,2,1973,3946
Factors of 3994
List of positive integer factors of 3994 that divides 3994 without a remainder.
1,2,1997,3994
Greatest Common Factor
We found the factors 3946,3994 . The biggest common factor number is the GCF number.
So the greatest common factor 3946,3994 is 2.
Lets's calculate LCM of 645,5056
Given numbers has no common factors except 1. So, there LCM is their product i.e 3261120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3261120
Therefore, the GCF of Fractions 3946/645,3994/5056 is 2/3261120
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 645,5056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,5056) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(645,5056) x common factors =1 x 1 = 1
LCM(645,5056) = ( 645 × 5056 ) / 1
LCM(645,5056) = 3261120 / 1
LCM(645,5056) = 3261120
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 3946/645, 3994/5056?
Answer: GCF of Numerators as per given numbers 3946/645, 3994/5056 is
GCF of Numerators i.e. for 3946,3994 is 2
LCM of denominators i.e. for 645,5056 is 3261120.
Thus, GCF of Fractions is 2/3261120.Finally, GCF of Fractions for 3946/645, 3994/5056 is 2/3261120.