Use our free GCF of Fractions Calculator tool to compute the GCF of 38/964, 38/1104 i.e 38/266064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/964, 38/1104.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/964,38/1104
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 38/964,38/1104, numerators are 38,38
Denominators are 964,1104
The GCF of 38,38 is 38 .
LCM of 964,1104 is 266064.
The greatest common factor of 38/964,38/1104 = [GCF of 38,38]/[LCM of 964,1104]= 38/266064
Therefore, the GCF of 38/964,38/1104 is 38/266064.
To find the highest common factor of 38,38, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 38 are 1, 2, 19, 38
The HCF of 38,38 is 38.
Lets's calculate GCF of 38,38
2 | 38, 38 |
19 | 19, 19 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 38
:1,2,19,38
Greatest Common Factor
We found the factors 38,38 . The biggest common factor number is the GCF number.
So the greatest common factor 38,38 is 38.
Lets's calculate LCM of 964,1104
2 | 964, 1104 |
2 | 482, 552 |
241, 276 |
∴ So the LCM of the given numbers is 2 x 2 x 241 x 276 = 266064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/266064
Therefore, the GCF of Fractions 38/964,38/1104 is 38/266064
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 964,1104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,1104) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(964,1104) x common factors =4 x 1 = 4
LCM(964,1104) = ( 964 × 1104 ) / 4
LCM(964,1104) = 1064256 / 4
LCM(964,1104) = 266064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,38?
The HCF of 38,38 is 38
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 38/964, 38/1104?
Answer: GCF of Numerators as per given numbers 38/964, 38/1104 is
GCF of Numerators i.e. for 38,38 is 38
LCM of denominators i.e. for 964,1104 is 266064.
Thus, GCF of Fractions is 38/266064.Finally, GCF of Fractions for 38/964, 38/1104 is 38/266064.