Use our free GCF of Fractions Calculator tool to compute the GCF of 609/222, 8381/4091 i.e 29/908202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 609/222, 8381/4091.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 609/222,8381/4091
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 609/222,8381/4091, numerators are 609,8381
Denominators are 222,4091
The GCF of 609,8381 is 29 .
LCM of 222,4091 is 908202.
The greatest common factor of 609/222,8381/4091 = [GCF of 609,8381]/[LCM of 222,4091]= 29/908202
Therefore, the GCF of 609/222,8381/4091 is 29/908202.
To find the highest common factor of 609,8381, we have to find the factors of both numbers and list the highest common factor.
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The factors of 8381 are 1, 17, 29, 289, 493, 8381
The HCF of 609,8381 is 29.
Lets's calculate GCF of 609,8381
29 | 609, 8381 |
21, 289 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Now, list down the factors of 8381
:1,17,29,289,493,8381
Greatest Common Factor
We found the factors 609,8381 . The biggest common factor number is the GCF number.
So the greatest common factor 609,8381 is 29.
Lets's calculate LCM of 222,4091
Given numbers has no common factors except 1. So, there LCM is their product i.e 908202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/908202
Therefore, the GCF of Fractions 609/222,8381/4091 is 29/908202
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 222,4091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,4091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(222,4091) x common factors =1 x 1 = 1
LCM(222,4091) = ( 222 × 4091 ) / 1
LCM(222,4091) = 908202 / 1
LCM(222,4091) = 908202
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 609,8381?
The HCF of 609,8381 is 29
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 609/222, 8381/4091?
Answer: GCF of Numerators as per given numbers 609/222, 8381/4091 is
GCF of Numerators i.e. for 609,8381 is 29
LCM of denominators i.e. for 222,4091 is 908202.
Thus, GCF of Fractions is 29/908202.Finally, GCF of Fractions for 609/222, 8381/4091 is 29/908202.