Use our free GCF of Fractions Calculator tool to compute the GCF of 190/203, 968/873 i.e 2/177219 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/203, 968/873.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 190/203,968/873
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 190/203,968/873, numerators are 190,968
Denominators are 203,873
The GCF of 190,968 is 2 .
LCM of 203,873 is 177219.
The greatest common factor of 190/203,968/873 = [GCF of 190,968]/[LCM of 203,873]= 2/177219
Therefore, the GCF of 190/203,968/873 is 2/177219.
To find the highest common factor of 190,968, we have to find the factors of both numbers and list the highest common factor.
The factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The HCF of 190,968 is 2.
Lets's calculate GCF of 190,968
2 | 190, 968 |
95, 484 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 190
:1,2,5,10,19,38,95,190
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 190,968 . The biggest common factor number is the GCF number.
So the greatest common factor 190,968 is 2.
Lets's calculate LCM of 203,873
Given numbers has no common factors except 1. So, there LCM is their product i.e 177219
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/177219
Therefore, the GCF of Fractions 190/203,968/873 is 2/177219
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 203,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,873) x common factors =1 x 1 = 1
LCM(203,873) = ( 203 × 873 ) / 1
LCM(203,873) = 177219 / 1
LCM(203,873) = 177219
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 190,968?
The HCF of 190,968 is 2
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 190/203, 968/873?
Answer: GCF of Numerators as per given numbers 190/203, 968/873 is
GCF of Numerators i.e. for 190,968 is 2
LCM of denominators i.e. for 203,873 is 177219.
Thus, GCF of Fractions is 2/177219.Finally, GCF of Fractions for 190/203, 968/873 is 2/177219.