Use our free GCF of Fractions Calculator tool to compute the GCF of 2320/220, 6605/7333 i.e 5/1613260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2320/220, 6605/7333.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2320/220,6605/7333
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 2320/220,6605/7333, numerators are 2320,6605
Denominators are 220,7333
The GCF of 2320,6605 is 5 .
LCM of 220,7333 is 1613260.
The greatest common factor of 2320/220,6605/7333 = [GCF of 2320,6605]/[LCM of 220,7333]= 5/1613260
Therefore, the GCF of 2320/220,6605/7333 is 5/1613260.
To find the highest common factor of 2320,6605, we have to find the factors of both numbers and list the highest common factor.
The factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320
The factors of 6605 are 1, 5, 1321, 6605
The HCF of 2320,6605 is 5.
Lets's calculate GCF of 2320,6605
5 | 2320, 6605 |
464, 1321 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 2320
:1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320
Now, list down the factors of 6605
:1,5,1321,6605
Greatest Common Factor
We found the factors 2320,6605 . The biggest common factor number is the GCF number.
So the greatest common factor 2320,6605 is 5.
Lets's calculate LCM of 220,7333
Given numbers has no common factors except 1. So, there LCM is their product i.e 1613260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1613260
Therefore, the GCF of Fractions 2320/220,6605/7333 is 5/1613260
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 220,7333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,7333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,7333) x common factors =1 x 1 = 1
LCM(220,7333) = ( 220 × 7333 ) / 1
LCM(220,7333) = 1613260 / 1
LCM(220,7333) = 1613260
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2320,6605?
The HCF of 2320,6605 is 5
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 2320/220, 6605/7333?
Answer: GCF of Numerators as per given numbers 2320/220, 6605/7333 is
GCF of Numerators i.e. for 2320,6605 is 5
LCM of denominators i.e. for 220,7333 is 1613260.
Thus, GCF of Fractions is 5/1613260.Finally, GCF of Fractions for 2320/220, 6605/7333 is 5/1613260.