Use our free GCF of Fractions Calculator tool to compute the GCF of 382/301, 955/501 i.e 191/150801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 382/301, 955/501.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/301,955/501
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 382/301,955/501, numerators are 382,955
Denominators are 301,501
The GCF of 382,955 is 191 .
LCM of 301,501 is 150801.
The greatest common factor of 382/301,955/501 = [GCF of 382,955]/[LCM of 301,501]= 191/150801
Therefore, the GCF of 382/301,955/501 is 191/150801.
To find the highest common factor of 382,955, we have to find the factors of both numbers and list the highest common factor.
The factors of 382 are 1, 2, 191, 382
The factors of 955 are 1, 5, 191, 955
The HCF of 382,955 is 191.
Lets's calculate GCF of 382,955
191 | 382, 955 |
2, 5 |
∴ So the GCF of the given numbers is 191 = 191
Now, list down the factors of 382
:1,2,191,382
Now, list down the factors of 955
:1,5,191,955
Greatest Common Factor
We found the factors 382,955 . The biggest common factor number is the GCF number.
So the greatest common factor 382,955 is 191.
Lets's calculate LCM of 301,501
Given numbers has no common factors except 1. So, there LCM is their product i.e 150801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 191/150801
Therefore, the GCF of Fractions 382/301,955/501 is 191/150801
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 301,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,501) x common factors =1 x 1 = 1
LCM(301,501) = ( 301 × 501 ) / 1
LCM(301,501) = 150801 / 1
LCM(301,501) = 150801
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 382,955?
The HCF of 382,955 is 191
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 382/301, 955/501?
Answer: GCF of Numerators as per given numbers 382/301, 955/501 is
GCF of Numerators i.e. for 382,955 is 191
LCM of denominators i.e. for 301,501 is 150801.
Thus, GCF of Fractions is 191/150801.Finally, GCF of Fractions for 382/301, 955/501 is 191/150801.