Use our free GCF of Fractions Calculator tool to compute the GCF of 396/901, 966/980 i.e 6/882980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 396/901, 966/980.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 396/901,966/980
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 396/901,966/980, numerators are 396,966
Denominators are 901,980
The GCF of 396,966 is 6 .
LCM of 901,980 is 882980.
The greatest common factor of 396/901,966/980 = [GCF of 396,966]/[LCM of 901,980]= 6/882980
Therefore, the GCF of 396/901,966/980 is 6/882980.
To find the highest common factor of 396,966, we have to find the factors of both numbers and list the highest common factor.
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
The HCF of 396,966 is 6.
Lets's calculate GCF of 396,966
2 | 396, 966 |
3 | 198, 483 |
66, 161 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 396
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Now, list down the factors of 966
:1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 396,966 . The biggest common factor number is the GCF number.
So the greatest common factor 396,966 is 6.
Lets's calculate LCM of 901,980
Given numbers has no common factors except 1. So, there LCM is their product i.e 882980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/882980
Therefore, the GCF of Fractions 396/901,966/980 is 6/882980
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 901,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,980) x common factors =1 x 1 = 1
LCM(901,980) = ( 901 × 980 ) / 1
LCM(901,980) = 882980 / 1
LCM(901,980) = 882980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 396,966?
The HCF of 396,966 is 6
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 396/901, 966/980?
Answer: GCF of Numerators as per given numbers 396/901, 966/980 is
GCF of Numerators i.e. for 396,966 is 6
LCM of denominators i.e. for 901,980 is 882980.
Thus, GCF of Fractions is 6/882980.Finally, GCF of Fractions for 396/901, 966/980 is 6/882980.