Use our free GCF of Fractions Calculator tool to compute the GCF of 1368/304, 1919/9228 i.e 19/701328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1368/304, 1919/9228.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1368/304,1919/9228
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 1368/304,1919/9228, numerators are 1368,1919
Denominators are 304,9228
The GCF of 1368,1919 is 19 .
LCM of 304,9228 is 701328.
The greatest common factor of 1368/304,1919/9228 = [GCF of 1368,1919]/[LCM of 304,9228]= 19/701328
Therefore, the GCF of 1368/304,1919/9228 is 19/701328.
To find the highest common factor of 1368,1919, we have to find the factors of both numbers and list the highest common factor.
The factors of 1368 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368
The factors of 1919 are 1, 19, 101, 1919
The HCF of 1368,1919 is 19.
Lets's calculate GCF of 1368,1919
19 | 1368, 1919 |
72, 101 |
∴ So the GCF of the given numbers is 19 = 19
Now, list down the factors of 1368
:1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,114,152,171,228,342,456,684,1368
Now, list down the factors of 1919
:1,19,101,1919
Greatest Common Factor
We found the factors 1368,1919 . The biggest common factor number is the GCF number.
So the greatest common factor 1368,1919 is 19.
Lets's calculate LCM of 304,9228
2 | 304, 9228 |
2 | 152, 4614 |
76, 2307 |
∴ So the LCM of the given numbers is 2 x 2 x 76 x 2307 = 701328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/701328
Therefore, the GCF of Fractions 1368/304,1919/9228 is 19/701328
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 304,9228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,9228) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(304,9228) x common factors =4 x 1 = 4
LCM(304,9228) = ( 304 × 9228 ) / 4
LCM(304,9228) = 2805312 / 4
LCM(304,9228) = 701328
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1368,1919?
The HCF of 1368,1919 is 19
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 1368/304, 1919/9228?
Answer: GCF of Numerators as per given numbers 1368/304, 1919/9228 is
GCF of Numerators i.e. for 1368,1919 is 19
LCM of denominators i.e. for 304,9228 is 701328.
Thus, GCF of Fractions is 19/701328.Finally, GCF of Fractions for 1368/304, 1919/9228 is 19/701328.