Use our free GCF of Fractions Calculator tool to compute the GCF of 46/721, 192/345, 304/590 i.e 2/29351910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/721, 192/345, 304/590.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/721,192/345,304/590
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 46/721,192/345,304/590, numerators are 46,192,304
Denominators are 721,345,590
The GCF of 46,192,304 is 2 .
LCM of 721,345,590 is 29351910.
The greatest common factor of 46/721,192/345,304/590 = [GCF of 46,192,304]/[LCM of 721,345,590]= 2/29351910
Therefore, the GCF of 46/721,192/345,304/590 is 2/29351910.
To find the highest common factor of 46,192,304, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
The HCF of 46,192,304 is 2.
Lets's calculate GCF of 46,192,304
2 | 46, 192, 304 |
23, 96, 152 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 192
:1,2,3,4,6,8,12,16,24,32,48,64,96,192
Now, list down the factors of 304
:1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 46,192,304 . The biggest common factor number is the GCF number.
So the greatest common factor 46,192,304 is 2.
Lets's calculate LCM of 721,345,590
5 | 721, 345, 590 |
721, 69, 118 |
∴ So the LCM of the given numbers is 5 x 721 x 69 x 118 = 29351910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29351910
Therefore, the GCF of Fractions 46/721,192/345,304/590 is 2/29351910
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 721,345,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,345,590) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(721,345,590) x common factors =1 x 5 = 5
LCM(721,345,590) = ( 721 × 345 × 590 ) / 5
LCM(721,345,590) = 146759550 / 5
LCM(721,345,590) = 29351910
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 46,192,304?
The HCF of 46,192,304 is 2
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 46/721, 192/345, 304/590?
Answer: GCF of Numerators as per given numbers 46/721, 192/345, 304/590 is
GCF of Numerators i.e. for 46,192,304 is 2
LCM of denominators i.e. for 721,345,590 is 29351910.
Thus, GCF of Fractions is 2/29351910.Finally, GCF of Fractions for 46/721, 192/345, 304/590 is 2/29351910.