Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8163/665,1549/6984
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 8163,1549
Greatest Common Factor of Numerators i.e. GCF of 8163,1549 is 1 .
LCM of Denominators means LCM of 665,6984 as per the given fractions.
LCM of 665,6984 is 4644360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8163,1549
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8163
List of positive integer factors of 8163 that divides 8163 without a remainder.
1,3,9,907,2721,8163
Factors of 1549
List of positive integer factors of 1549 that divides 1549 without a remainder.
1,1549
Greatest Common Factor
We found the factors 8163,1549 . The biggest common factor number is the GCF number.
So the greatest common factor 8163,1549 is 1.
Lets's calculate LCM of 665,6984
Given numbers has no common factors except 1. So, there LCM is their product i.e 4644360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4644360
Therefore, the GCF of Fractions 8163/665,1549/6984 is 1/4644360
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 665,6984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,6984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,6984) x common factors =1 x 1 = 1
LCM(665,6984) = ( 665 × 6984 ) / 1
LCM(665,6984) = 4644360 / 1
LCM(665,6984) = 4644360
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 8163/665, 1549/6984?
Answer: GCF of Numerators as per given numbers 8163/665, 1549/6984 is
GCF of Numerators i.e. for 8163,1549 is 1
LCM of denominators i.e. for 665,6984 is 4644360.
Thus, GCF of Fractions is 1/4644360.Finally, GCF of Fractions for 8163/665, 1549/6984 is 1/4644360.