Use our free GCF of Fractions Calculator tool to compute the GCF of 174/163, 302/192 i.e 2/31296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 174/163, 302/192.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 174/163,302/192
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 174/163,302/192, numerators are 174,302
Denominators are 163,192
The GCF of 174,302 is 2 .
LCM of 163,192 is 31296.
The greatest common factor of 174/163,302/192 = [GCF of 174,302]/[LCM of 163,192]= 2/31296
Therefore, the GCF of 174/163,302/192 is 2/31296.
To find the highest common factor of 174,302, we have to find the factors of both numbers and list the highest common factor.
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174
The factors of 302 are 1, 2, 151, 302
The HCF of 174,302 is 2.
Lets's calculate GCF of 174,302
2 | 174, 302 |
87, 151 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 174
:1,2,3,6,29,58,87,174
Now, list down the factors of 302
:1,2,151,302
Greatest Common Factor
We found the factors 174,302 . The biggest common factor number is the GCF number.
So the greatest common factor 174,302 is 2.
Lets's calculate LCM of 163,192
Given numbers has no common factors except 1. So, there LCM is their product i.e 31296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31296
Therefore, the GCF of Fractions 174/163,302/192 is 2/31296
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 163,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,192) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,192) x common factors =1 x 1 = 1
LCM(163,192) = ( 163 × 192 ) / 1
LCM(163,192) = 31296 / 1
LCM(163,192) = 31296
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 174,302?
The HCF of 174,302 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 174/163, 302/192?
Answer: GCF of Numerators as per given numbers 174/163, 302/192 is
GCF of Numerators i.e. for 174,302 is 2
LCM of denominators i.e. for 163,192 is 31296.
Thus, GCF of Fractions is 2/31296.Finally, GCF of Fractions for 174/163, 302/192 is 2/31296.