Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3968/148,6608/3952
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 3968,6608
Greatest Common Factor of Numerators i.e. GCF of 3968,6608 is 16 .
LCM of Denominators means LCM of 148,3952 as per the given fractions.
LCM of 148,3952 is 146224 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3968,6608
2 | 3968, 6608 |
2 | 1984, 3304 |
2 | 992, 1652 |
2 | 496, 826 |
248, 413 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 3968
List of positive integer factors of 3968 that divides 3968 without a remainder.
1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968
Factors of 6608
List of positive integer factors of 6608 that divides 6608 without a remainder.
1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608
Greatest Common Factor
We found the factors 3968,6608 . The biggest common factor number is the GCF number.
So the greatest common factor 3968,6608 is 16.
Lets's calculate LCM of 148,3952
2 | 148, 3952 |
2 | 74, 1976 |
37, 988 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 988 = 146224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/146224
Therefore, the GCF of Fractions 3968/148,6608/3952 is 16/146224
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 148,3952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,3952) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(148,3952) x common factors =4 x 1 = 4
LCM(148,3952) = ( 148 × 3952 ) / 4
LCM(148,3952) = 584896 / 4
LCM(148,3952) = 146224
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 3968/148, 6608/3952?
Answer: GCF of Numerators as per given numbers 3968/148, 6608/3952 is
GCF of Numerators i.e. for 3968,6608 is 16
LCM of denominators i.e. for 148,3952 is 146224.
Thus, GCF of Fractions is 16/146224.Finally, GCF of Fractions for 3968/148, 6608/3952 is 16/146224.