Use our free GCF of Fractions Calculator tool to compute the GCF of 941/389, 946/981 i.e 1/381609 easily. The following is the detailed procedure to determine the greatest common factor of fractions 941/389, 946/981.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 941/389,946/981
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 941/389,946/981, numerators are 941,946
Denominators are 389,981
The GCF of 941,946 is 1 .
LCM of 389,981 is 381609.
The greatest common factor of 941/389,946/981 = [GCF of 941,946]/[LCM of 389,981]= 1/381609
Therefore, the GCF of 941/389,946/981 is 1/381609.
To find the highest common factor of 941,946, we have to find the factors of both numbers and list the highest common factor.
The factors of 941 are 1, 941
The factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946
The HCF of 941,946 is 1.
Lets's calculate GCF of 941,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 941
:1,941
Now, list down the factors of 946
:1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 941,946 . The biggest common factor number is the GCF number.
So the greatest common factor 941,946 is 1.
Lets's calculate LCM of 389,981
Given numbers has no common factors except 1. So, there LCM is their product i.e 381609
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381609
Therefore, the GCF of Fractions 941/389,946/981 is 1/381609
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 389,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,981) x common factors =1 x 1 = 1
LCM(389,981) = ( 389 × 981 ) / 1
LCM(389,981) = 381609 / 1
LCM(389,981) = 381609
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 941,946?
The HCF of 941,946 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 941/389, 946/981?
Answer: GCF of Numerators as per given numbers 941/389, 946/981 is
GCF of Numerators i.e. for 941,946 is 1
LCM of denominators i.e. for 389,981 is 381609.
Thus, GCF of Fractions is 1/381609.Finally, GCF of Fractions for 941/389, 946/981 is 1/381609.