Use our free GCF of Fractions Calculator tool to compute the GCF of 192/318, 363/985 i.e 3/313230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 192/318, 363/985.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 192/318,363/985
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 192/318,363/985, numerators are 192,363
Denominators are 318,985
The GCF of 192,363 is 3 .
LCM of 318,985 is 313230.
The greatest common factor of 192/318,363/985 = [GCF of 192,363]/[LCM of 318,985]= 3/313230
Therefore, the GCF of 192/318,363/985 is 3/313230.
To find the highest common factor of 192,363, 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 363 are 1, 3, 11, 33, 121, 363
The HCF of 192,363 is 3.
Lets's calculate GCF of 192,363
3 | 192, 363 |
64, 121 |
∴ So the GCF of the given numbers is 3 = 3
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 363
:1,3,11,33,121,363
Greatest Common Factor
We found the factors 192,363 . The biggest common factor number is the GCF number.
So the greatest common factor 192,363 is 3.
Lets's calculate LCM of 318,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 313230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/313230
Therefore, the GCF of Fractions 192/318,363/985 is 3/313230
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 318,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(318,985) x common factors =1 x 1 = 1
LCM(318,985) = ( 318 × 985 ) / 1
LCM(318,985) = 313230 / 1
LCM(318,985) = 313230
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 192,363?
The HCF of 192,363 is 3
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 192/318, 363/985?
Answer: GCF of Numerators as per given numbers 192/318, 363/985 is
GCF of Numerators i.e. for 192,363 is 3
LCM of denominators i.e. for 318,985 is 313230.
Thus, GCF of Fractions is 3/313230.Finally, GCF of Fractions for 192/318, 363/985 is 3/313230.