Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 425/96,867/153
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 425,867
Greatest Common Factor of Numerators i.e. GCF of 425,867 is 17 .
LCM of Denominators means LCM of 96,153 as per the given fractions.
LCM of 96,153 is 4896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 425,867
17 | 425, 867 |
25, 51 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Greatest Common Factor
We found the factors 425,867 . The biggest common factor number is the GCF number.
So the greatest common factor 425,867 is 17.
Lets's calculate LCM of 96,153
3 | 96, 153 |
32, 51 |
∴ So the LCM of the given numbers is 3 x 32 x 51 = 4896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/4896
Therefore, the GCF of Fractions 425/96,867/153 is 17/4896
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 96,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,153) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(96,153) x common factors =3 x 1 = 3
LCM(96,153) = ( 96 × 153 ) / 3
LCM(96,153) = 14688 / 3
LCM(96,153) = 4896
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 425/96, 867/153?
Answer: GCF of Numerators as per given numbers 425/96, 867/153 is
GCF of Numerators i.e. for 425,867 is 17
LCM of denominators i.e. for 96,153 is 4896.
Thus, GCF of Fractions is 17/4896.Finally, GCF of Fractions for 425/96, 867/153 is 17/4896.