Use our free GCF of Fractions Calculator tool to compute the GCF of 14/443, 71/268, 663/907 i.e 1/107682668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/443, 71/268, 663/907.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/443,71/268,663/907
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 14/443,71/268,663/907, numerators are 14,71,663
Denominators are 443,268,907
The GCF of 14,71,663 is 1 .
LCM of 443,268,907 is 107682668.
The greatest common factor of 14/443,71/268,663/907 = [GCF of 14,71,663]/[LCM of 443,268,907]= 1/107682668
Therefore, the GCF of 14/443,71/268,663/907 is 1/107682668.
To find the highest common factor of 14,71,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 71 are 1, 71
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 14,71,663 is 1.
Lets's calculate GCF of 14,71,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 71
:1,71
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 14,71,663 . The biggest common factor number is the GCF number.
So the greatest common factor 14,71,663 is 1.
Lets's calculate LCM of 443,268,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 107682668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107682668
Therefore, the GCF of Fractions 14/443,71/268,663/907 is 1/107682668
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 443,268,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,268,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,268,907) x common factors =1 x 1 = 1
LCM(443,268,907) = ( 443 × 268 × 907 ) / 1
LCM(443,268,907) = 107682668 / 1
LCM(443,268,907) = 107682668
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,71,663?
The HCF of 14,71,663 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 14/443, 71/268, 663/907?
Answer: GCF of Numerators as per given numbers 14/443, 71/268, 663/907 is
GCF of Numerators i.e. for 14,71,663 is 1
LCM of denominators i.e. for 443,268,907 is 107682668.
Thus, GCF of Fractions is 1/107682668.Finally, GCF of Fractions for 14/443, 71/268, 663/907 is 1/107682668.