Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 390/396,783/678
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 390,783
Greatest Common Factor of Numerators i.e. GCF of 390,783 is 3 .
LCM of Denominators means LCM of 396,678 as per the given fractions.
LCM of 396,678 is 44748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 390,783
3 | 390, 783 |
130, 261 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 390,783 . The biggest common factor number is the GCF number.
So the greatest common factor 390,783 is 3.
Lets's calculate LCM of 396,678
2 | 396, 678 |
3 | 198, 339 |
66, 113 |
∴ So the LCM of the given numbers is 2 x 3 x 66 x 113 = 44748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/44748
Therefore, the GCF of Fractions 390/396,783/678 is 3/44748
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 396,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,678) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(396,678) x common factors =6 x 1 = 6
LCM(396,678) = ( 396 × 678 ) / 6
LCM(396,678) = 268488 / 6
LCM(396,678) = 44748
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 390/396, 783/678?
Answer: GCF of Numerators as per given numbers 390/396, 783/678 is
GCF of Numerators i.e. for 390,783 is 3
LCM of denominators i.e. for 396,678 is 44748.
Thus, GCF of Fractions is 3/44748.Finally, GCF of Fractions for 390/396, 783/678 is 3/44748.