Use our free GCF of Fractions Calculator tool to compute the GCF of 132/205, 7797/962 i.e 3/197210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/205, 7797/962.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 132/205,7797/962
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 132/205,7797/962, numerators are 132,7797
Denominators are 205,962
The GCF of 132,7797 is 3 .
LCM of 205,962 is 197210.
The greatest common factor of 132/205,7797/962 = [GCF of 132,7797]/[LCM of 205,962]= 3/197210
Therefore, the GCF of 132/205,7797/962 is 3/197210.
To find the highest common factor of 132,7797, we have to find the factors of both numbers and list the highest common factor.
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797
The HCF of 132,7797 is 3.
Lets's calculate GCF of 132,7797
3 | 132, 7797 |
44, 2599 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Now, list down the factors of 7797
:1,3,23,69,113,339,2599,7797
Greatest Common Factor
We found the factors 132,7797 . The biggest common factor number is the GCF number.
So the greatest common factor 132,7797 is 3.
Lets's calculate LCM of 205,962
Given numbers has no common factors except 1. So, there LCM is their product i.e 197210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/197210
Therefore, the GCF of Fractions 132/205,7797/962 is 3/197210
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 205,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,962) x common factors =1 x 1 = 1
LCM(205,962) = ( 205 × 962 ) / 1
LCM(205,962) = 197210 / 1
LCM(205,962) = 197210
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 132,7797?
The HCF of 132,7797 is 3
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 132/205, 7797/962?
Answer: GCF of Numerators as per given numbers 132/205, 7797/962 is
GCF of Numerators i.e. for 132,7797 is 3
LCM of denominators i.e. for 205,962 is 197210.
Thus, GCF of Fractions is 3/197210.Finally, GCF of Fractions for 132/205, 7797/962 is 3/197210.