Use our free GCF of Fractions Calculator tool to compute the GCF of 437/872, 215/671 i.e 1/585112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/872, 215/671.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 437/872,215/671
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 437/872,215/671, numerators are 437,215
Denominators are 872,671
The GCF of 437,215 is 1 .
LCM of 872,671 is 585112.
The greatest common factor of 437/872,215/671 = [GCF of 437,215]/[LCM of 872,671]= 1/585112
Therefore, the GCF of 437/872,215/671 is 1/585112.
To find the highest common factor of 437,215, we have to find the factors of both numbers and list the highest common factor.
The factors of 437 are 1, 19, 23, 437
The factors of 215 are 1, 5, 43, 215
The HCF of 437,215 is 1.
Lets's calculate GCF of 437,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 437
:1,19,23,437
Now, list down the factors of 215
:1,5,43,215
Greatest Common Factor
We found the factors 437,215 . The biggest common factor number is the GCF number.
So the greatest common factor 437,215 is 1.
Lets's calculate LCM of 872,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 585112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/585112
Therefore, the GCF of Fractions 437/872,215/671 is 1/585112
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 872,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,671) x common factors =1 x 1 = 1
LCM(872,671) = ( 872 × 671 ) / 1
LCM(872,671) = 585112 / 1
LCM(872,671) = 585112
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 437,215?
The HCF of 437,215 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 437/872, 215/671?
Answer: GCF of Numerators as per given numbers 437/872, 215/671 is
GCF of Numerators i.e. for 437,215 is 1
LCM of denominators i.e. for 872,671 is 585112.
Thus, GCF of Fractions is 1/585112.Finally, GCF of Fractions for 437/872, 215/671 is 1/585112.