Use our free GCF of Fractions Calculator tool to compute the GCF of 909/761, 198/855 i.e 9/650655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 909/761, 198/855.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 909/761,198/855
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 909/761,198/855, numerators are 909,198
Denominators are 761,855
The GCF of 909,198 is 9 .
LCM of 761,855 is 650655.
The greatest common factor of 909/761,198/855 = [GCF of 909,198]/[LCM of 761,855]= 9/650655
Therefore, the GCF of 909/761,198/855 is 9/650655.
To find the highest common factor of 909,198, we have to find the factors of both numbers and list the highest common factor.
The factors of 909 are 1, 3, 9, 101, 303, 909
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
The HCF of 909,198 is 9.
Lets's calculate GCF of 909,198
3 | 909, 198 |
3 | 303, 66 |
101, 22 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 909
:1,3,9,101,303,909
Now, list down the factors of 198
:1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 909,198 . The biggest common factor number is the GCF number.
So the greatest common factor 909,198 is 9.
Lets's calculate LCM of 761,855
Given numbers has no common factors except 1. So, there LCM is their product i.e 650655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/650655
Therefore, the GCF of Fractions 909/761,198/855 is 9/650655
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 761,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,855) x common factors =1 x 1 = 1
LCM(761,855) = ( 761 × 855 ) / 1
LCM(761,855) = 650655 / 1
LCM(761,855) = 650655
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 909,198?
The HCF of 909,198 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 909/761, 198/855?
Answer: GCF of Numerators as per given numbers 909/761, 198/855 is
GCF of Numerators i.e. for 909,198 is 9
LCM of denominators i.e. for 761,855 is 650655.
Thus, GCF of Fractions is 9/650655.Finally, GCF of Fractions for 909/761, 198/855 is 9/650655.