Use our free GCF of Fractions Calculator tool to compute the GCF of 447/220, 305/192 i.e 1/10560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 447/220, 305/192.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 447/220,305/192
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 447/220,305/192, numerators are 447,305
Denominators are 220,192
The GCF of 447,305 is 1 .
LCM of 220,192 is 10560.
The greatest common factor of 447/220,305/192 = [GCF of 447,305]/[LCM of 220,192]= 1/10560
Therefore, the GCF of 447/220,305/192 is 1/10560.
To find the highest common factor of 447,305, we have to find the factors of both numbers and list the highest common factor.
The factors of 447 are 1, 3, 149, 447
The factors of 305 are 1, 5, 61, 305
The HCF of 447,305 is 1.
Lets's calculate GCF of 447,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 447
:1,3,149,447
Now, list down the factors of 305
:1,5,61,305
Greatest Common Factor
We found the factors 447,305 . The biggest common factor number is the GCF number.
So the greatest common factor 447,305 is 1.
Lets's calculate LCM of 220,192
2 | 220, 192 |
2 | 110, 96 |
55, 48 |
∴ So the LCM of the given numbers is 2 x 2 x 55 x 48 = 10560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10560
Therefore, the GCF of Fractions 447/220,305/192 is 1/10560
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 220,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,192) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(220,192) x common factors =4 x 1 = 4
LCM(220,192) = ( 220 × 192 ) / 4
LCM(220,192) = 42240 / 4
LCM(220,192) = 10560
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 447,305?
The HCF of 447,305 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 447/220, 305/192?
Answer: GCF of Numerators as per given numbers 447/220, 305/192 is
GCF of Numerators i.e. for 447,305 is 1
LCM of denominators i.e. for 220,192 is 10560.
Thus, GCF of Fractions is 1/10560.Finally, GCF of Fractions for 447/220, 305/192 is 1/10560.