Use our free GCF of Fractions Calculator tool to compute the GCF of 327/922, 437/375 i.e 1/345750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 327/922, 437/375.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 327/922,437/375
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 327/922,437/375, numerators are 327,437
Denominators are 922,375
The GCF of 327,437 is 1 .
LCM of 922,375 is 345750.
The greatest common factor of 327/922,437/375 = [GCF of 327,437]/[LCM of 922,375]= 1/345750
Therefore, the GCF of 327/922,437/375 is 1/345750.
To find the highest common factor of 327,437, we have to find the factors of both numbers and list the highest common factor.
The factors of 327 are 1, 3, 109, 327
The factors of 437 are 1, 19, 23, 437
The HCF of 327,437 is 1.
Lets's calculate GCF of 327,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 327
:1,3,109,327
Now, list down the factors of 437
:1,19,23,437
Greatest Common Factor
We found the factors 327,437 . The biggest common factor number is the GCF number.
So the greatest common factor 327,437 is 1.
Lets's calculate LCM of 922,375
Given numbers has no common factors except 1. So, there LCM is their product i.e 345750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/345750
Therefore, the GCF of Fractions 327/922,437/375 is 1/345750
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 922,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(922,375) x common factors =1 x 1 = 1
LCM(922,375) = ( 922 × 375 ) / 1
LCM(922,375) = 345750 / 1
LCM(922,375) = 345750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 327,437?
The HCF of 327,437 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 327/922, 437/375?
Answer: GCF of Numerators as per given numbers 327/922, 437/375 is
GCF of Numerators i.e. for 327,437 is 1
LCM of denominators i.e. for 922,375 is 345750.
Thus, GCF of Fractions is 1/345750.Finally, GCF of Fractions for 327/922, 437/375 is 1/345750.