Use our free GCF of Fractions Calculator tool to compute the GCF of 915/836, 138/304 i.e 3/3344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 915/836, 138/304.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 915/836,138/304
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 915/836,138/304, numerators are 915,138
Denominators are 836,304
The GCF of 915,138 is 3 .
LCM of 836,304 is 3344.
The greatest common factor of 915/836,138/304 = [GCF of 915,138]/[LCM of 836,304]= 3/3344
Therefore, the GCF of 915/836,138/304 is 3/3344.
To find the highest common factor of 915,138, we have to find the factors of both numbers and list the highest common factor.
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138
The HCF of 915,138 is 3.
Lets's calculate GCF of 915,138
3 | 915, 138 |
305, 46 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Now, list down the factors of 138
:1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 915,138 . The biggest common factor number is the GCF number.
So the greatest common factor 915,138 is 3.
Lets's calculate LCM of 836,304
2 | 836, 304 |
2 | 418, 152 |
19 | 209, 76 |
11, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 11 x 4 = 3344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3344
Therefore, the GCF of Fractions 915/836,138/304 is 3/3344
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 836,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,304) = 76
common factors(in case of two or more numbers have common factors) = 1
GCF(836,304) x common factors =76 x 1 = 76
LCM(836,304) = ( 836 × 304 ) / 76
LCM(836,304) = 254144 / 76
LCM(836,304) = 3344
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 915,138?
The HCF of 915,138 is 3
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 915/836, 138/304?
Answer: GCF of Numerators as per given numbers 915/836, 138/304 is
GCF of Numerators i.e. for 915,138 is 3
LCM of denominators i.e. for 836,304 is 3344.
Thus, GCF of Fractions is 3/3344.Finally, GCF of Fractions for 915/836, 138/304 is 3/3344.