Use our free GCF of Fractions Calculator tool to compute the GCF of 4759/315, 5889/1155 i.e 1/3465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4759/315, 5889/1155.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4759/315,5889/1155
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 4759/315,5889/1155, numerators are 4759,5889
Denominators are 315,1155
The GCF of 4759,5889 is 1 .
LCM of 315,1155 is 3465.
The greatest common factor of 4759/315,5889/1155 = [GCF of 4759,5889]/[LCM of 315,1155]= 1/3465
Therefore, the GCF of 4759/315,5889/1155 is 1/3465.
To find the highest common factor of 4759,5889, we have to find the factors of both numbers and list the highest common factor.
The factors of 4759 are 1, 4759
The factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889
The HCF of 4759,5889 is 1.
Lets's calculate GCF of 4759,5889
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4759
:1,4759
Now, list down the factors of 5889
:1,3,13,39,151,453,1963,5889
Greatest Common Factor
We found the factors 4759,5889 . The biggest common factor number is the GCF number.
So the greatest common factor 4759,5889 is 1.
Lets's calculate LCM of 315,1155
3 | 315, 1155 |
5 | 105, 385 |
7 | 21, 77 |
3, 11 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 3 x 11 = 3465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3465
Therefore, the GCF of Fractions 4759/315,5889/1155 is 1/3465
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 315,1155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,1155) = 105
common factors(in case of two or more numbers have common factors) = 1
GCF(315,1155) x common factors =105 x 1 = 105
LCM(315,1155) = ( 315 × 1155 ) / 105
LCM(315,1155) = 363825 / 105
LCM(315,1155) = 3465
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4759,5889?
The HCF of 4759,5889 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 4759/315, 5889/1155?
Answer: GCF of Numerators as per given numbers 4759/315, 5889/1155 is
GCF of Numerators i.e. for 4759,5889 is 1
LCM of denominators i.e. for 315,1155 is 3465.
Thus, GCF of Fractions is 1/3465.Finally, GCF of Fractions for 4759/315, 5889/1155 is 1/3465.