Use our free GCF of Fractions Calculator tool to compute the GCF of 192/711, 880/273 i.e 16/64701 easily. The following is the detailed procedure to determine the greatest common factor of fractions 192/711, 880/273.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 192/711,880/273
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 192/711,880/273, numerators are 192,880
Denominators are 711,273
The GCF of 192,880 is 16 .
LCM of 711,273 is 64701.
The greatest common factor of 192/711,880/273 = [GCF of 192,880]/[LCM of 711,273]= 16/64701
Therefore, the GCF of 192/711,880/273 is 16/64701.
To find the highest common factor of 192,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 192,880 is 16.
Lets's calculate GCF of 192,880
2 | 192, 880 |
2 | 96, 440 |
2 | 48, 220 |
2 | 24, 110 |
12, 55 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
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 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 192,880 . The biggest common factor number is the GCF number.
So the greatest common factor 192,880 is 16.
Lets's calculate LCM of 711,273
3 | 711, 273 |
237, 91 |
∴ So the LCM of the given numbers is 3 x 237 x 91 = 64701
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/64701
Therefore, the GCF of Fractions 192/711,880/273 is 16/64701
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 711,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,273) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(711,273) x common factors =3 x 1 = 3
LCM(711,273) = ( 711 × 273 ) / 3
LCM(711,273) = 194103 / 3
LCM(711,273) = 64701
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 192,880?
The HCF of 192,880 is 16
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 192/711, 880/273?
Answer: GCF of Numerators as per given numbers 192/711, 880/273 is
GCF of Numerators i.e. for 192,880 is 16
LCM of denominators i.e. for 711,273 is 64701.
Thus, GCF of Fractions is 16/64701.Finally, GCF of Fractions for 192/711, 880/273 is 16/64701.