Use our free GCF of Fractions Calculator tool to compute the GCF of 1058/328, 4358/1487 i.e 2/487736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1058/328, 4358/1487.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1058/328,4358/1487
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 1058/328,4358/1487, numerators are 1058,4358
Denominators are 328,1487
The GCF of 1058,4358 is 2 .
LCM of 328,1487 is 487736.
The greatest common factor of 1058/328,4358/1487 = [GCF of 1058,4358]/[LCM of 328,1487]= 2/487736
Therefore, the GCF of 1058/328,4358/1487 is 2/487736.
To find the highest common factor of 1058,4358, we have to find the factors of both numbers and list the highest common factor.
The factors of 1058 are 1, 2, 23, 46, 529, 1058
The factors of 4358 are 1, 2, 2179, 4358
The HCF of 1058,4358 is 2.
Lets's calculate GCF of 1058,4358
2 | 1058, 4358 |
529, 2179 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 1058
:1,2,23,46,529,1058
Now, list down the factors of 4358
:1,2,2179,4358
Greatest Common Factor
We found the factors 1058,4358 . The biggest common factor number is the GCF number.
So the greatest common factor 1058,4358 is 2.
Lets's calculate LCM of 328,1487
Given numbers has no common factors except 1. So, there LCM is their product i.e 487736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/487736
Therefore, the GCF of Fractions 1058/328,4358/1487 is 2/487736
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 328,1487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,1487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,1487) x common factors =1 x 1 = 1
LCM(328,1487) = ( 328 × 1487 ) / 1
LCM(328,1487) = 487736 / 1
LCM(328,1487) = 487736
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1058,4358?
The HCF of 1058,4358 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 1058/328, 4358/1487?
Answer: GCF of Numerators as per given numbers 1058/328, 4358/1487 is
GCF of Numerators i.e. for 1058,4358 is 2
LCM of denominators i.e. for 328,1487 is 487736.
Thus, GCF of Fractions is 2/487736.Finally, GCF of Fractions for 1058/328, 4358/1487 is 2/487736.