Use our free GCF of Fractions Calculator tool to compute the GCF of 965/345, 731/741 i.e 1/85215 easily. The following is the detailed procedure to determine the greatest common factor of fractions 965/345, 731/741.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 965/345,731/741
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 965/345,731/741, numerators are 965,731
Denominators are 345,741
The GCF of 965,731 is 1 .
LCM of 345,741 is 85215.
The greatest common factor of 965/345,731/741 = [GCF of 965,731]/[LCM of 345,741]= 1/85215
Therefore, the GCF of 965/345,731/741 is 1/85215.
To find the highest common factor of 965,731, 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 731 are 1, 17, 43, 731
The HCF of 965,731 is 1.
Lets's calculate GCF of 965,731
∴ 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 731
:1,17,43,731
Greatest Common Factor
We found the factors 965,731 . The biggest common factor number is the GCF number.
So the greatest common factor 965,731 is 1.
Lets's calculate LCM of 345,741
3 | 345, 741 |
115, 247 |
∴ So the LCM of the given numbers is 3 x 115 x 247 = 85215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85215
Therefore, the GCF of Fractions 965/345,731/741 is 1/85215
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 345,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,741) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,741) x common factors =3 x 1 = 3
LCM(345,741) = ( 345 × 741 ) / 3
LCM(345,741) = 255645 / 3
LCM(345,741) = 85215
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 965,731?
The HCF of 965,731 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 965/345, 731/741?
Answer: GCF of Numerators as per given numbers 965/345, 731/741 is
GCF of Numerators i.e. for 965,731 is 1
LCM of denominators i.e. for 345,741 is 85215.
Thus, GCF of Fractions is 1/85215.Finally, GCF of Fractions for 965/345, 731/741 is 1/85215.