Use our free GCF of Fractions Calculator tool to compute the GCF of 7390/771, 1326/9065 i.e 2/6989115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7390/771, 1326/9065.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7390/771,1326/9065
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 7390/771,1326/9065, numerators are 7390,1326
Denominators are 771,9065
The GCF of 7390,1326 is 2 .
LCM of 771,9065 is 6989115.
The greatest common factor of 7390/771,1326/9065 = [GCF of 7390,1326]/[LCM of 771,9065]= 2/6989115
Therefore, the GCF of 7390/771,1326/9065 is 2/6989115.
To find the highest common factor of 7390,1326, we have to find the factors of both numbers and list the highest common factor.
The factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390
The factors of 1326 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 442, 663, 1326
The HCF of 7390,1326 is 2.
Lets's calculate GCF of 7390,1326
2 | 7390, 1326 |
3695, 663 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 7390
:1,2,5,10,739,1478,3695,7390
Now, list down the factors of 1326
:1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326
Greatest Common Factor
We found the factors 7390,1326 . The biggest common factor number is the GCF number.
So the greatest common factor 7390,1326 is 2.
Lets's calculate LCM of 771,9065
Given numbers has no common factors except 1. So, there LCM is their product i.e 6989115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6989115
Therefore, the GCF of Fractions 7390/771,1326/9065 is 2/6989115
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 771,9065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,9065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,9065) x common factors =1 x 1 = 1
LCM(771,9065) = ( 771 × 9065 ) / 1
LCM(771,9065) = 6989115 / 1
LCM(771,9065) = 6989115
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7390,1326?
The HCF of 7390,1326 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 7390/771, 1326/9065?
Answer: GCF of Numerators as per given numbers 7390/771, 1326/9065 is
GCF of Numerators i.e. for 7390,1326 is 2
LCM of denominators i.e. for 771,9065 is 6989115.
Thus, GCF of Fractions is 2/6989115.Finally, GCF of Fractions for 7390/771, 1326/9065 is 2/6989115.