Use our free GCF of Fractions Calculator tool to compute the GCF of 4858/738, 2259/5258 i.e 1/1940202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4858/738, 2259/5258.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4858/738,2259/5258
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 4858/738,2259/5258, numerators are 4858,2259
Denominators are 738,5258
The GCF of 4858,2259 is 1 .
LCM of 738,5258 is 1940202.
The greatest common factor of 4858/738,2259/5258 = [GCF of 4858,2259]/[LCM of 738,5258]= 1/1940202
Therefore, the GCF of 4858/738,2259/5258 is 1/1940202.
To find the highest common factor of 4858,2259, we have to find the factors of both numbers and list the highest common factor.
The factors of 4858 are 1, 2, 7, 14, 347, 694, 2429, 4858
The factors of 2259 are 1, 3, 9, 251, 753, 2259
The HCF of 4858,2259 is 1.
Lets's calculate GCF of 4858,2259
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4858
:1,2,7,14,347,694,2429,4858
Now, list down the factors of 2259
:1,3,9,251,753,2259
Greatest Common Factor
We found the factors 4858,2259 . The biggest common factor number is the GCF number.
So the greatest common factor 4858,2259 is 1.
Lets's calculate LCM of 738,5258
2 | 738, 5258 |
369, 2629 |
∴ So the LCM of the given numbers is 2 x 369 x 2629 = 1940202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1940202
Therefore, the GCF of Fractions 4858/738,2259/5258 is 1/1940202
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 738,5258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,5258) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(738,5258) x common factors =2 x 1 = 2
LCM(738,5258) = ( 738 × 5258 ) / 2
LCM(738,5258) = 3880404 / 2
LCM(738,5258) = 1940202
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4858,2259?
The HCF of 4858,2259 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 4858/738, 2259/5258?
Answer: GCF of Numerators as per given numbers 4858/738, 2259/5258 is
GCF of Numerators i.e. for 4858,2259 is 1
LCM of denominators i.e. for 738,5258 is 1940202.
Thus, GCF of Fractions is 1/1940202.Finally, GCF of Fractions for 4858/738, 2259/5258 is 1/1940202.