Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 783/969,7385/330
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 783,7385
Greatest Common Factor of Numerators i.e. GCF of 783,7385 is 1 .
LCM of Denominators means LCM of 969,330 as per the given fractions.
LCM of 969,330 is 106590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 783,7385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Factors of 7385
List of positive integer factors of 7385 that divides 7385 without a remainder.
1,5,7,35,211,1055,1477,7385
Greatest Common Factor
We found the factors 783,7385 . The biggest common factor number is the GCF number.
So the greatest common factor 783,7385 is 1.
Lets's calculate LCM of 969,330
3 | 969, 330 |
323, 110 |
∴ So the LCM of the given numbers is 3 x 323 x 110 = 106590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106590
Therefore, the GCF of Fractions 783/969,7385/330 is 1/106590
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 969,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,330) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(969,330) x common factors =3 x 1 = 3
LCM(969,330) = ( 969 × 330 ) / 3
LCM(969,330) = 319770 / 3
LCM(969,330) = 106590
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 783/969, 7385/330?
Answer: GCF of Numerators as per given numbers 783/969, 7385/330 is
GCF of Numerators i.e. for 783,7385 is 1
LCM of denominators i.e. for 969,330 is 106590.
Thus, GCF of Fractions is 1/106590.Finally, GCF of Fractions for 783/969, 7385/330 is 1/106590.