Use our free GCF of Fractions Calculator tool to compute the GCF of 27/16, 736/19, 712/487 i.e 1/148048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/16, 736/19, 712/487.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/16,736/19,712/487
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 27/16,736/19,712/487, numerators are 27,736,712
Denominators are 16,19,487
The GCF of 27,736,712 is 1 .
LCM of 16,19,487 is 148048.
The greatest common factor of 27/16,736/19,712/487 = [GCF of 27,736,712]/[LCM of 16,19,487]= 1/148048
Therefore, the GCF of 27/16,736/19,712/487 is 1/148048.
To find the highest common factor of 27,736,712, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712
The HCF of 27,736,712 is 1.
Lets's calculate GCF of 27,736,712
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 736
:1,2,4,8,16,23,32,46,92,184,368,736
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 27,736,712 . The biggest common factor number is the GCF number.
So the greatest common factor 27,736,712 is 1.
Lets's calculate LCM of 16,19,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 148048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148048
Therefore, the GCF of Fractions 27/16,736/19,712/487 is 1/148048
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 16,19,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,19,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,19,487) x common factors =1 x 1 = 1
LCM(16,19,487) = ( 16 × 19 × 487 ) / 1
LCM(16,19,487) = 148048 / 1
LCM(16,19,487) = 148048
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 27,736,712?
The HCF of 27,736,712 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 27/16, 736/19, 712/487?
Answer: GCF of Numerators as per given numbers 27/16, 736/19, 712/487 is
GCF of Numerators i.e. for 27,736,712 is 1
LCM of denominators i.e. for 16,19,487 is 148048.
Thus, GCF of Fractions is 1/148048.Finally, GCF of Fractions for 27/16, 736/19, 712/487 is 1/148048.