Use our free GCF of Fractions Calculator tool to compute the GCF of 371/407, 375/550 i.e 1/20350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 371/407, 375/550.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 371/407,375/550
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 371/407,375/550, numerators are 371,375
Denominators are 407,550
The GCF of 371,375 is 1 .
LCM of 407,550 is 20350.
The greatest common factor of 371/407,375/550 = [GCF of 371,375]/[LCM of 407,550]= 1/20350
Therefore, the GCF of 371/407,375/550 is 1/20350.
To find the highest common factor of 371,375, 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 375 are 1, 3, 5, 15, 25, 75, 125, 375
The HCF of 371,375 is 1.
Lets's calculate GCF of 371,375
∴ 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 375
:1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 371,375 . The biggest common factor number is the GCF number.
So the greatest common factor 371,375 is 1.
Lets's calculate LCM of 407,550
11 | 407, 550 |
37, 50 |
∴ So the LCM of the given numbers is 11 x 37 x 50 = 20350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20350
Therefore, the GCF of Fractions 371/407,375/550 is 1/20350
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 407,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,550) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(407,550) x common factors =11 x 1 = 11
LCM(407,550) = ( 407 × 550 ) / 11
LCM(407,550) = 223850 / 11
LCM(407,550) = 20350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 371,375?
The HCF of 371,375 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 371/407, 375/550?
Answer: GCF of Numerators as per given numbers 371/407, 375/550 is
GCF of Numerators i.e. for 371,375 is 1
LCM of denominators i.e. for 407,550 is 20350.
Thus, GCF of Fractions is 1/20350.Finally, GCF of Fractions for 371/407, 375/550 is 1/20350.