Use our free GCF of Fractions Calculator tool to compute the GCF of 3966/716, 3361/1119 i.e 1/801204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3966/716, 3361/1119.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3966/716,3361/1119
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 3966/716,3361/1119, numerators are 3966,3361
Denominators are 716,1119
The GCF of 3966,3361 is 1 .
LCM of 716,1119 is 801204.
The greatest common factor of 3966/716,3361/1119 = [GCF of 3966,3361]/[LCM of 716,1119]= 1/801204
Therefore, the GCF of 3966/716,3361/1119 is 1/801204.
To find the highest common factor of 3966,3361, we have to find the factors of both numbers and list the highest common factor.
The factors of 3966 are 1, 2, 3, 6, 661, 1322, 1983, 3966
The factors of 3361 are 1, 3361
The HCF of 3966,3361 is 1.
Lets's calculate GCF of 3966,3361
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3966
:1,2,3,6,661,1322,1983,3966
Now, list down the factors of 3361
:1,3361
Greatest Common Factor
We found the factors 3966,3361 . The biggest common factor number is the GCF number.
So the greatest common factor 3966,3361 is 1.
Lets's calculate LCM of 716,1119
Given numbers has no common factors except 1. So, there LCM is their product i.e 801204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/801204
Therefore, the GCF of Fractions 3966/716,3361/1119 is 1/801204
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 716,1119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,1119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(716,1119) x common factors =1 x 1 = 1
LCM(716,1119) = ( 716 × 1119 ) / 1
LCM(716,1119) = 801204 / 1
LCM(716,1119) = 801204
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3966,3361?
The HCF of 3966,3361 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 3966/716, 3361/1119?
Answer: GCF of Numerators as per given numbers 3966/716, 3361/1119 is
GCF of Numerators i.e. for 3966,3361 is 1
LCM of denominators i.e. for 716,1119 is 801204.
Thus, GCF of Fractions is 1/801204.Finally, GCF of Fractions for 3966/716, 3361/1119 is 1/801204.