Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7815/894,7984/969
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 7815,7984
Greatest Common Factor of Numerators i.e. GCF of 7815,7984 is 1 .
LCM of Denominators means LCM of 894,969 as per the given fractions.
LCM of 894,969 is 288762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7815,7984
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7815
List of positive integer factors of 7815 that divides 7815 without a remainder.
1,3,5,15,521,1563,2605,7815
Factors of 7984
List of positive integer factors of 7984 that divides 7984 without a remainder.
1,2,4,8,16,499,998,1996,3992,7984
Greatest Common Factor
We found the factors 7815,7984 . The biggest common factor number is the GCF number.
So the greatest common factor 7815,7984 is 1.
Lets's calculate LCM of 894,969
3 | 894, 969 |
298, 323 |
∴ So the LCM of the given numbers is 3 x 298 x 323 = 288762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288762
Therefore, the GCF of Fractions 7815/894,7984/969 is 1/288762
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 894,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,969) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(894,969) x common factors =3 x 1 = 3
LCM(894,969) = ( 894 × 969 ) / 3
LCM(894,969) = 866286 / 3
LCM(894,969) = 288762
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 7815/894, 7984/969?
Answer: GCF of Numerators as per given numbers 7815/894, 7984/969 is
GCF of Numerators i.e. for 7815,7984 is 1
LCM of denominators i.e. for 894,969 is 288762.
Thus, GCF of Fractions is 1/288762.Finally, GCF of Fractions for 7815/894, 7984/969 is 1/288762.