Use our free GCF of Fractions Calculator tool to compute the GCF of 302/175, 302/132 i.e 302/23100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 302/175, 302/132.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 302/175,302/132
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 302/175,302/132, numerators are 302,302
Denominators are 175,132
The GCF of 302,302 is 302 .
LCM of 175,132 is 23100.
The greatest common factor of 302/175,302/132 = [GCF of 302,302]/[LCM of 175,132]= 302/23100
Therefore, the GCF of 302/175,302/132 is 302/23100.
To find the highest common factor of 302,302, we have to find the factors of both numbers and list the highest common factor.
The factors of 302 are 1, 2, 151, 302
The factors of 302 are 1, 2, 151, 302
The HCF of 302,302 is 302.
Lets's calculate GCF of 302,302
2 | 302, 302 |
151 | 151, 151 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 151 = 302
Now, list down the factors of 302
:1,2,151,302
Now, list down the factors of 302
:1,2,151,302
Greatest Common Factor
We found the factors 302,302 . The biggest common factor number is the GCF number.
So the greatest common factor 302,302 is 302.
Lets's calculate LCM of 175,132
Given numbers has no common factors except 1. So, there LCM is their product i.e 23100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 302/23100
Therefore, the GCF of Fractions 302/175,302/132 is 302/23100
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 175,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,132) x common factors =1 x 1 = 1
LCM(175,132) = ( 175 × 132 ) / 1
LCM(175,132) = 23100 / 1
LCM(175,132) = 23100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 302,302?
The HCF of 302,302 is 302
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 302/175, 302/132?
Answer: GCF of Numerators as per given numbers 302/175, 302/132 is
GCF of Numerators i.e. for 302,302 is 302
LCM of denominators i.e. for 175,132 is 23100.
Thus, GCF of Fractions is 302/23100.Finally, GCF of Fractions for 302/175, 302/132 is 302/23100.