Use our free GCF of Fractions Calculator tool to compute the GCF of 965/171, 446/587 i.e 1/100377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 965/171, 446/587.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 965/171,446/587
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 965/171,446/587, numerators are 965,446
Denominators are 171,587
The GCF of 965,446 is 1 .
LCM of 171,587 is 100377.
The greatest common factor of 965/171,446/587 = [GCF of 965,446]/[LCM of 171,587]= 1/100377
Therefore, the GCF of 965/171,446/587 is 1/100377.
To find the highest common factor of 965,446, we have to find the factors of both numbers and list the highest common factor.
The factors of 965 are 1, 5, 193, 965
The factors of 446 are 1, 2, 223, 446
The HCF of 965,446 is 1.
Lets's calculate GCF of 965,446
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 965
:1,5,193,965
Now, list down the factors of 446
:1,2,223,446
Greatest Common Factor
We found the factors 965,446 . The biggest common factor number is the GCF number.
So the greatest common factor 965,446 is 1.
Lets's calculate LCM of 171,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 100377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100377
Therefore, the GCF of Fractions 965/171,446/587 is 1/100377
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 171,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,587) x common factors =1 x 1 = 1
LCM(171,587) = ( 171 × 587 ) / 1
LCM(171,587) = 100377 / 1
LCM(171,587) = 100377
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 965,446?
The HCF of 965,446 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 965/171, 446/587?
Answer: GCF of Numerators as per given numbers 965/171, 446/587 is
GCF of Numerators i.e. for 965,446 is 1
LCM of denominators i.e. for 171,587 is 100377.
Thus, GCF of Fractions is 1/100377.Finally, GCF of Fractions for 965/171, 446/587 is 1/100377.