Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8383/207,6508/4017
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 8383,6508
Greatest Common Factor of Numerators i.e. GCF of 8383,6508 is 1 .
LCM of Denominators means LCM of 207,4017 as per the given fractions.
LCM of 207,4017 is 277173 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8383,6508
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8383
List of positive integer factors of 8383 that divides 8383 without a remainder.
1,83,101,8383
Factors of 6508
List of positive integer factors of 6508 that divides 6508 without a remainder.
1,2,4,1627,3254,6508
Greatest Common Factor
We found the factors 8383,6508 . The biggest common factor number is the GCF number.
So the greatest common factor 8383,6508 is 1.
Lets's calculate LCM of 207,4017
3 | 207, 4017 |
69, 1339 |
∴ So the LCM of the given numbers is 3 x 69 x 1339 = 277173
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277173
Therefore, the GCF of Fractions 8383/207,6508/4017 is 1/277173
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 207,4017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,4017) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(207,4017) x common factors =3 x 1 = 3
LCM(207,4017) = ( 207 × 4017 ) / 3
LCM(207,4017) = 831519 / 3
LCM(207,4017) = 277173
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 8383/207, 6508/4017?
Answer: GCF of Numerators as per given numbers 8383/207, 6508/4017 is
GCF of Numerators i.e. for 8383,6508 is 1
LCM of denominators i.e. for 207,4017 is 277173.
Thus, GCF of Fractions is 1/277173.Finally, GCF of Fractions for 8383/207, 6508/4017 is 1/277173.