Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8199/864,4733/342
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 8199,4733
Greatest Common Factor of Numerators i.e. GCF of 8199,4733 is 1 .
LCM of Denominators means LCM of 864,342 as per the given fractions.
LCM of 864,342 is 16416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8199,4733
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8199
List of positive integer factors of 8199 that divides 8199 without a remainder.
1,3,9,911,2733,8199
Factors of 4733
List of positive integer factors of 4733 that divides 4733 without a remainder.
1,4733
Greatest Common Factor
We found the factors 8199,4733 . The biggest common factor number is the GCF number.
So the greatest common factor 8199,4733 is 1.
Lets's calculate LCM of 864,342
2 | 864, 342 |
3 | 432, 171 |
3 | 144, 57 |
48, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 48 x 19 = 16416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16416
Therefore, the GCF of Fractions 8199/864,4733/342 is 1/16416
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 864,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,342) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(864,342) x common factors =18 x 1 = 18
LCM(864,342) = ( 864 × 342 ) / 18
LCM(864,342) = 295488 / 18
LCM(864,342) = 16416
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 8199/864, 4733/342?
Answer: GCF of Numerators as per given numbers 8199/864, 4733/342 is
GCF of Numerators i.e. for 8199,4733 is 1
LCM of denominators i.e. for 864,342 is 16416.
Thus, GCF of Fractions is 1/16416.Finally, GCF of Fractions for 8199/864, 4733/342 is 1/16416.