Use our free GCF of Fractions Calculator tool to compute the GCF of 443/448, 312/594 i.e 1/133056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/448, 312/594.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 443/448,312/594
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 443/448,312/594, numerators are 443,312
Denominators are 448,594
The GCF of 443,312 is 1 .
LCM of 448,594 is 133056.
The greatest common factor of 443/448,312/594 = [GCF of 443,312]/[LCM of 448,594]= 1/133056
Therefore, the GCF of 443/448,312/594 is 1/133056.
To find the highest common factor of 443,312, we have to find the factors of both numbers and list the highest common factor.
The factors of 443 are 1, 443
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 443,312 is 1.
Lets's calculate GCF of 443,312
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 443
:1,443
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 443,312 . The biggest common factor number is the GCF number.
So the greatest common factor 443,312 is 1.
Lets's calculate LCM of 448,594
2 | 448, 594 |
224, 297 |
∴ So the LCM of the given numbers is 2 x 224 x 297 = 133056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133056
Therefore, the GCF of Fractions 443/448,312/594 is 1/133056
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 448,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(448,594) x common factors =2 x 1 = 2
LCM(448,594) = ( 448 × 594 ) / 2
LCM(448,594) = 266112 / 2
LCM(448,594) = 133056
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 443,312?
The HCF of 443,312 is 1
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 443/448, 312/594?
Answer: GCF of Numerators as per given numbers 443/448, 312/594 is
GCF of Numerators i.e. for 443,312 is 1
LCM of denominators i.e. for 448,594 is 133056.
Thus, GCF of Fractions is 1/133056.Finally, GCF of Fractions for 443/448, 312/594 is 1/133056.