Use our free GCF of Fractions Calculator tool to compute the GCF of 968/816, 427/441 i.e 1/119952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/816, 427/441.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 968/816,427/441
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 968/816,427/441, numerators are 968,427
Denominators are 816,441
The GCF of 968,427 is 1 .
LCM of 816,441 is 119952.
The greatest common factor of 968/816,427/441 = [GCF of 968,427]/[LCM of 816,441]= 1/119952
Therefore, the GCF of 968/816,427/441 is 1/119952.
To find the highest common factor of 968,427, we have to find the factors of both numbers and list the highest common factor.
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The factors of 427 are 1, 7, 61, 427
The HCF of 968,427 is 1.
Lets's calculate GCF of 968,427
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Now, list down the factors of 427
:1,7,61,427
Greatest Common Factor
We found the factors 968,427 . The biggest common factor number is the GCF number.
So the greatest common factor 968,427 is 1.
Lets's calculate LCM of 816,441
3 | 816, 441 |
272, 147 |
∴ So the LCM of the given numbers is 3 x 272 x 147 = 119952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119952
Therefore, the GCF of Fractions 968/816,427/441 is 1/119952
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 816,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,441) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(816,441) x common factors =3 x 1 = 3
LCM(816,441) = ( 816 × 441 ) / 3
LCM(816,441) = 359856 / 3
LCM(816,441) = 119952
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 968,427?
The HCF of 968,427 is 1
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 968/816, 427/441?
Answer: GCF of Numerators as per given numbers 968/816, 427/441 is
GCF of Numerators i.e. for 968,427 is 1
LCM of denominators i.e. for 816,441 is 119952.
Thus, GCF of Fractions is 1/119952.Finally, GCF of Fractions for 968/816, 427/441 is 1/119952.