Use our free GCF of Fractions Calculator tool to compute the GCF of 6022/733, 3662/5823 i.e 2/4268259 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6022/733, 3662/5823.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6022/733,3662/5823
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 6022/733,3662/5823, numerators are 6022,3662
Denominators are 733,5823
The GCF of 6022,3662 is 2 .
LCM of 733,5823 is 4268259.
The greatest common factor of 6022/733,3662/5823 = [GCF of 6022,3662]/[LCM of 733,5823]= 2/4268259
Therefore, the GCF of 6022/733,3662/5823 is 2/4268259.
To find the highest common factor of 6022,3662, we have to find the factors of both numbers and list the highest common factor.
The factors of 6022 are 1, 2, 3011, 6022
The factors of 3662 are 1, 2, 1831, 3662
The HCF of 6022,3662 is 2.
Lets's calculate GCF of 6022,3662
2 | 6022, 3662 |
3011, 1831 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6022
:1,2,3011,6022
Now, list down the factors of 3662
:1,2,1831,3662
Greatest Common Factor
We found the factors 6022,3662 . The biggest common factor number is the GCF number.
So the greatest common factor 6022,3662 is 2.
Lets's calculate LCM of 733,5823
Given numbers has no common factors except 1. So, there LCM is their product i.e 4268259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4268259
Therefore, the GCF of Fractions 6022/733,3662/5823 is 2/4268259
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 733,5823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,5823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,5823) x common factors =1 x 1 = 1
LCM(733,5823) = ( 733 × 5823 ) / 1
LCM(733,5823) = 4268259 / 1
LCM(733,5823) = 4268259
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6022,3662?
The HCF of 6022,3662 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 6022/733, 3662/5823?
Answer: GCF of Numerators as per given numbers 6022/733, 3662/5823 is
GCF of Numerators i.e. for 6022,3662 is 2
LCM of denominators i.e. for 733,5823 is 4268259.
Thus, GCF of Fractions is 2/4268259.Finally, GCF of Fractions for 6022/733, 3662/5823 is 2/4268259.