Use our free GCF of Fractions Calculator tool to compute the GCF of 433/215, 152/174 i.e 1/37410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/215, 152/174.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 433/215,152/174
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 433/215,152/174, numerators are 433,152
Denominators are 215,174
The GCF of 433,152 is 1 .
LCM of 215,174 is 37410.
The greatest common factor of 433/215,152/174 = [GCF of 433,152]/[LCM of 215,174]= 1/37410
Therefore, the GCF of 433/215,152/174 is 1/37410.
To find the highest common factor of 433,152, we have to find the factors of both numbers and list the highest common factor.
The factors of 433 are 1, 433
The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
The HCF of 433,152 is 1.
Lets's calculate GCF of 433,152
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 433
:1,433
Now, list down the factors of 152
:1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 433,152 . The biggest common factor number is the GCF number.
So the greatest common factor 433,152 is 1.
Lets's calculate LCM of 215,174
Given numbers has no common factors except 1. So, there LCM is their product i.e 37410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37410
Therefore, the GCF of Fractions 433/215,152/174 is 1/37410
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 215,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,174) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,174) x common factors =1 x 1 = 1
LCM(215,174) = ( 215 × 174 ) / 1
LCM(215,174) = 37410 / 1
LCM(215,174) = 37410
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 433,152?
The HCF of 433,152 is 1
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 433/215, 152/174?
Answer: GCF of Numerators as per given numbers 433/215, 152/174 is
GCF of Numerators i.e. for 433,152 is 1
LCM of denominators i.e. for 215,174 is 37410.
Thus, GCF of Fractions is 1/37410.Finally, GCF of Fractions for 433/215, 152/174 is 1/37410.