Use our free GCF of Fractions Calculator tool to compute the GCF of 4442/301, 8302/2843 i.e 2/855743 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4442/301, 8302/2843.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4442/301,8302/2843
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 4442/301,8302/2843, numerators are 4442,8302
Denominators are 301,2843
The GCF of 4442,8302 is 2 .
LCM of 301,2843 is 855743.
The greatest common factor of 4442/301,8302/2843 = [GCF of 4442,8302]/[LCM of 301,2843]= 2/855743
Therefore, the GCF of 4442/301,8302/2843 is 2/855743.
To find the highest common factor of 4442,8302, we have to find the factors of both numbers and list the highest common factor.
The factors of 4442 are 1, 2, 2221, 4442
The factors of 8302 are 1, 2, 7, 14, 593, 1186, 4151, 8302
The HCF of 4442,8302 is 2.
Lets's calculate GCF of 4442,8302
2 | 4442, 8302 |
2221, 4151 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4442
:1,2,2221,4442
Now, list down the factors of 8302
:1,2,7,14,593,1186,4151,8302
Greatest Common Factor
We found the factors 4442,8302 . The biggest common factor number is the GCF number.
So the greatest common factor 4442,8302 is 2.
Lets's calculate LCM of 301,2843
Given numbers has no common factors except 1. So, there LCM is their product i.e 855743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/855743
Therefore, the GCF of Fractions 4442/301,8302/2843 is 2/855743
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 301,2843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,2843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,2843) x common factors =1 x 1 = 1
LCM(301,2843) = ( 301 × 2843 ) / 1
LCM(301,2843) = 855743 / 1
LCM(301,2843) = 855743
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4442,8302?
The HCF of 4442,8302 is 2
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 4442/301, 8302/2843?
Answer: GCF of Numerators as per given numbers 4442/301, 8302/2843 is
GCF of Numerators i.e. for 4442,8302 is 2
LCM of denominators i.e. for 301,2843 is 855743.
Thus, GCF of Fractions is 2/855743.Finally, GCF of Fractions for 4442/301, 8302/2843 is 2/855743.