Use our free GCF of Fractions Calculator tool to compute the GCF of 941/196, 591/965 i.e 1/189140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 941/196, 591/965.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 941/196,591/965
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 941/196,591/965, numerators are 941,591
Denominators are 196,965
The GCF of 941,591 is 1 .
LCM of 196,965 is 189140.
The greatest common factor of 941/196,591/965 = [GCF of 941,591]/[LCM of 196,965]= 1/189140
Therefore, the GCF of 941/196,591/965 is 1/189140.
To find the highest common factor of 941,591, 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 591 are 1, 3, 197, 591
The HCF of 941,591 is 1.
Lets's calculate GCF of 941,591
∴ 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 591
:1,3,197,591
Greatest Common Factor
We found the factors 941,591 . The biggest common factor number is the GCF number.
So the greatest common factor 941,591 is 1.
Lets's calculate LCM of 196,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 189140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189140
Therefore, the GCF of Fractions 941/196,591/965 is 1/189140
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 196,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(196,965) x common factors =1 x 1 = 1
LCM(196,965) = ( 196 × 965 ) / 1
LCM(196,965) = 189140 / 1
LCM(196,965) = 189140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 941,591?
The HCF of 941,591 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 941/196, 591/965?
Answer: GCF of Numerators as per given numbers 941/196, 591/965 is
GCF of Numerators i.e. for 941,591 is 1
LCM of denominators i.e. for 196,965 is 189140.
Thus, GCF of Fractions is 1/189140.Finally, GCF of Fractions for 941/196, 591/965 is 1/189140.