Use our free GCF of Fractions Calculator tool to compute the GCF of 371/115, 313/284 i.e 1/32660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 371/115, 313/284.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 371/115,313/284
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 371/115,313/284, numerators are 371,313
Denominators are 115,284
The GCF of 371,313 is 1 .
LCM of 115,284 is 32660.
The greatest common factor of 371/115,313/284 = [GCF of 371,313]/[LCM of 115,284]= 1/32660
Therefore, the GCF of 371/115,313/284 is 1/32660.
To find the highest common factor of 371,313, we have to find the factors of both numbers and list the highest common factor.
The factors of 371 are 1, 7, 53, 371
The factors of 313 are 1, 313
The HCF of 371,313 is 1.
Lets's calculate GCF of 371,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 371
:1,7,53,371
Now, list down the factors of 313
:1,313
Greatest Common Factor
We found the factors 371,313 . The biggest common factor number is the GCF number.
So the greatest common factor 371,313 is 1.
Lets's calculate LCM of 115,284
Given numbers has no common factors except 1. So, there LCM is their product i.e 32660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32660
Therefore, the GCF of Fractions 371/115,313/284 is 1/32660
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 115,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,284) x common factors =1 x 1 = 1
LCM(115,284) = ( 115 × 284 ) / 1
LCM(115,284) = 32660 / 1
LCM(115,284) = 32660
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 371,313?
The HCF of 371,313 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 371/115, 313/284?
Answer: GCF of Numerators as per given numbers 371/115, 313/284 is
GCF of Numerators i.e. for 371,313 is 1
LCM of denominators i.e. for 115,284 is 32660.
Thus, GCF of Fractions is 1/32660.Finally, GCF of Fractions for 371/115, 313/284 is 1/32660.