Use our free GCF of Fractions Calculator tool to compute the GCF of 7218/665, 6723/5582 i.e 9/3712030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7218/665, 6723/5582.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7218/665,6723/5582
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 7218/665,6723/5582, numerators are 7218,6723
Denominators are 665,5582
The GCF of 7218,6723 is 9 .
LCM of 665,5582 is 3712030.
The greatest common factor of 7218/665,6723/5582 = [GCF of 7218,6723]/[LCM of 665,5582]= 9/3712030
Therefore, the GCF of 7218/665,6723/5582 is 9/3712030.
To find the highest common factor of 7218,6723, we have to find the factors of both numbers and list the highest common factor.
The factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218
The factors of 6723 are 1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723
The HCF of 7218,6723 is 9.
Lets's calculate GCF of 7218,6723
3 | 7218, 6723 |
3 | 2406, 2241 |
802, 747 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 7218
:1,2,3,6,9,18,401,802,1203,2406,3609,7218
Now, list down the factors of 6723
:1,3,9,27,81,83,249,747,2241,6723
Greatest Common Factor
We found the factors 7218,6723 . The biggest common factor number is the GCF number.
So the greatest common factor 7218,6723 is 9.
Lets's calculate LCM of 665,5582
Given numbers has no common factors except 1. So, there LCM is their product i.e 3712030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3712030
Therefore, the GCF of Fractions 7218/665,6723/5582 is 9/3712030
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 665,5582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,5582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,5582) x common factors =1 x 1 = 1
LCM(665,5582) = ( 665 × 5582 ) / 1
LCM(665,5582) = 3712030 / 1
LCM(665,5582) = 3712030
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7218,6723?
The HCF of 7218,6723 is 9
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 7218/665, 6723/5582?
Answer: GCF of Numerators as per given numbers 7218/665, 6723/5582 is
GCF of Numerators i.e. for 7218,6723 is 9
LCM of denominators i.e. for 665,5582 is 3712030.
Thus, GCF of Fractions is 9/3712030.Finally, GCF of Fractions for 7218/665, 6723/5582 is 9/3712030.