Use our free GCF of Fractions Calculator tool to compute the GCF of 8220/354, 3662/5643 i.e 2/665874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8220/354, 3662/5643.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8220/354,3662/5643
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 8220/354,3662/5643, numerators are 8220,3662
Denominators are 354,5643
The GCF of 8220,3662 is 2 .
LCM of 354,5643 is 665874.
The greatest common factor of 8220/354,3662/5643 = [GCF of 8220,3662]/[LCM of 354,5643]= 2/665874
Therefore, the GCF of 8220/354,3662/5643 is 2/665874.
To find the highest common factor of 8220,3662, we have to find the factors of both numbers and list the highest common factor.
The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220
The factors of 3662 are 1, 2, 1831, 3662
The HCF of 8220,3662 is 2.
Lets's calculate GCF of 8220,3662
2 | 8220, 3662 |
4110, 1831 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 8220
:1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Now, list down the factors of 3662
:1,2,1831,3662
Greatest Common Factor
We found the factors 8220,3662 . The biggest common factor number is the GCF number.
So the greatest common factor 8220,3662 is 2.
Lets's calculate LCM of 354,5643
3 | 354, 5643 |
118, 1881 |
∴ So the LCM of the given numbers is 3 x 118 x 1881 = 665874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/665874
Therefore, the GCF of Fractions 8220/354,3662/5643 is 2/665874
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 354,5643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,5643) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(354,5643) x common factors =3 x 1 = 3
LCM(354,5643) = ( 354 × 5643 ) / 3
LCM(354,5643) = 1997622 / 3
LCM(354,5643) = 665874
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8220,3662?
The HCF of 8220,3662 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 8220/354, 3662/5643?
Answer: GCF of Numerators as per given numbers 8220/354, 3662/5643 is
GCF of Numerators i.e. for 8220,3662 is 2
LCM of denominators i.e. for 354,5643 is 665874.
Thus, GCF of Fractions is 2/665874.Finally, GCF of Fractions for 8220/354, 3662/5643 is 2/665874.