Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8189/69,4029/297
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 8189,4029
Greatest Common Factor of Numerators i.e. GCF of 8189,4029 is 1 .
LCM of Denominators means LCM of 69,297 as per the given fractions.
LCM of 69,297 is 6831 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8189,4029
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8189
List of positive integer factors of 8189 that divides 8189 without a remainder.
1,19,431,8189
Factors of 4029
List of positive integer factors of 4029 that divides 4029 without a remainder.
1,3,17,51,79,237,1343,4029
Greatest Common Factor
We found the factors 8189,4029 . The biggest common factor number is the GCF number.
So the greatest common factor 8189,4029 is 1.
Lets's calculate LCM of 69,297
3 | 69, 297 |
23, 99 |
∴ So the LCM of the given numbers is 3 x 23 x 99 = 6831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6831
Therefore, the GCF of Fractions 8189/69,4029/297 is 1/6831
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 69,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,297) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(69,297) x common factors =3 x 1 = 3
LCM(69,297) = ( 69 × 297 ) / 3
LCM(69,297) = 20493 / 3
LCM(69,297) = 6831
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 8189/69, 4029/297?
Answer: GCF of Numerators as per given numbers 8189/69, 4029/297 is
GCF of Numerators i.e. for 8189,4029 is 1
LCM of denominators i.e. for 69,297 is 6831.
Thus, GCF of Fractions is 1/6831.Finally, GCF of Fractions for 8189/69, 4029/297 is 1/6831.