Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6739/39,7306/395
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 6739,7306
Greatest Common Factor of Numerators i.e. GCF of 6739,7306 is 1 .
LCM of Denominators means LCM of 39,395 as per the given fractions.
LCM of 39,395 is 15405 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6739,7306
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6739
List of positive integer factors of 6739 that divides 6739 without a remainder.
1,23,293,6739
Factors of 7306
List of positive integer factors of 7306 that divides 7306 without a remainder.
1,2,13,26,281,562,3653,7306
Greatest Common Factor
We found the factors 6739,7306 . The biggest common factor number is the GCF number.
So the greatest common factor 6739,7306 is 1.
Lets's calculate LCM of 39,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 15405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15405
Therefore, the GCF of Fractions 6739/39,7306/395 is 1/15405
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 39,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,395) x common factors =1 x 1 = 1
LCM(39,395) = ( 39 × 395 ) / 1
LCM(39,395) = 15405 / 1
LCM(39,395) = 15405
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 6739/39, 7306/395?
Answer: GCF of Numerators as per given numbers 6739/39, 7306/395 is
GCF of Numerators i.e. for 6739,7306 is 1
LCM of denominators i.e. for 39,395 is 15405.
Thus, GCF of Fractions is 1/15405.Finally, GCF of Fractions for 6739/39, 7306/395 is 1/15405.