Use our free GCF of Fractions Calculator tool to compute the GCF of 109/419, 223/850 i.e 1/356150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 109/419, 223/850.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 109/419,223/850
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 109/419,223/850, numerators are 109,223
Denominators are 419,850
The GCF of 109,223 is 1 .
LCM of 419,850 is 356150.
The greatest common factor of 109/419,223/850 = [GCF of 109,223]/[LCM of 419,850]= 1/356150
Therefore, the GCF of 109/419,223/850 is 1/356150.
To find the highest common factor of 109,223, we have to find the factors of both numbers and list the highest common factor.
The factors of 109 are 1, 109
The factors of 223 are 1, 223
The HCF of 109,223 is 1.
Lets's calculate GCF of 109,223
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 109
:1,109
Now, list down the factors of 223
:1,223
Greatest Common Factor
We found the factors 109,223 . The biggest common factor number is the GCF number.
So the greatest common factor 109,223 is 1.
Lets's calculate LCM of 419,850
Given numbers has no common factors except 1. So, there LCM is their product i.e 356150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356150
Therefore, the GCF of Fractions 109/419,223/850 is 1/356150
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 419,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,850) x common factors =1 x 1 = 1
LCM(419,850) = ( 419 × 850 ) / 1
LCM(419,850) = 356150 / 1
LCM(419,850) = 356150
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 109,223?
The HCF of 109,223 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 109/419, 223/850?
Answer: GCF of Numerators as per given numbers 109/419, 223/850 is
GCF of Numerators i.e. for 109,223 is 1
LCM of denominators i.e. for 419,850 is 356150.
Thus, GCF of Fractions is 1/356150.Finally, GCF of Fractions for 109/419, 223/850 is 1/356150.