Use our free GCF of Fractions Calculator tool to compute the GCF of 64/173, 58/7455 i.e 2/1289715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/173, 58/7455.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/173,58/7455
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 64/173,58/7455, numerators are 64,58
Denominators are 173,7455
The GCF of 64,58 is 2 .
LCM of 173,7455 is 1289715.
The greatest common factor of 64/173,58/7455 = [GCF of 64,58]/[LCM of 173,7455]= 2/1289715
Therefore, the GCF of 64/173,58/7455 is 2/1289715.
To find the highest common factor of 64,58, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 58 are 1, 2, 29, 58
The HCF of 64,58 is 2.
Lets's calculate GCF of 64,58
2 | 64, 58 |
32, 29 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 58
:1,2,29,58
Greatest Common Factor
We found the factors 64,58 . The biggest common factor number is the GCF number.
So the greatest common factor 64,58 is 2.
Lets's calculate LCM of 173,7455
Given numbers has no common factors except 1. So, there LCM is their product i.e 1289715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1289715
Therefore, the GCF of Fractions 64/173,58/7455 is 2/1289715
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 173,7455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,7455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,7455) x common factors =1 x 1 = 1
LCM(173,7455) = ( 173 × 7455 ) / 1
LCM(173,7455) = 1289715 / 1
LCM(173,7455) = 1289715
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 64,58?
The HCF of 64,58 is 2
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 64/173, 58/7455?
Answer: GCF of Numerators as per given numbers 64/173, 58/7455 is
GCF of Numerators i.e. for 64,58 is 2
LCM of denominators i.e. for 173,7455 is 1289715.
Thus, GCF of Fractions is 2/1289715.Finally, GCF of Fractions for 64/173, 58/7455 is 2/1289715.