Use our free GCF of Fractions Calculator tool to compute the GCF of 610/956, 8310/4708 i.e 10/1125212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 610/956, 8310/4708.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 610/956,8310/4708
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 610/956,8310/4708, numerators are 610,8310
Denominators are 956,4708
The GCF of 610,8310 is 10 .
LCM of 956,4708 is 1125212.
The greatest common factor of 610/956,8310/4708 = [GCF of 610,8310]/[LCM of 956,4708]= 10/1125212
Therefore, the GCF of 610/956,8310/4708 is 10/1125212.
To find the highest common factor of 610,8310, we have to find the factors of both numbers and list the highest common factor.
The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610
The factors of 8310 are 1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310
The HCF of 610,8310 is 10.
Lets's calculate GCF of 610,8310
2 | 610, 8310 |
5 | 305, 4155 |
61, 831 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 610
:1,2,5,10,61,122,305,610
Now, list down the factors of 8310
:1,2,3,5,6,10,15,30,277,554,831,1385,1662,2770,4155,8310
Greatest Common Factor
We found the factors 610,8310 . The biggest common factor number is the GCF number.
So the greatest common factor 610,8310 is 10.
Lets's calculate LCM of 956,4708
2 | 956, 4708 |
2 | 478, 2354 |
239, 1177 |
∴ So the LCM of the given numbers is 2 x 2 x 239 x 1177 = 1125212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1125212
Therefore, the GCF of Fractions 610/956,8310/4708 is 10/1125212
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 956,4708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,4708) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(956,4708) x common factors =4 x 1 = 4
LCM(956,4708) = ( 956 × 4708 ) / 4
LCM(956,4708) = 4500848 / 4
LCM(956,4708) = 1125212
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 610,8310?
The HCF of 610,8310 is 10
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 610/956, 8310/4708?
Answer: GCF of Numerators as per given numbers 610/956, 8310/4708 is
GCF of Numerators i.e. for 610,8310 is 10
LCM of denominators i.e. for 956,4708 is 1125212.
Thus, GCF of Fractions is 10/1125212.Finally, GCF of Fractions for 610/956, 8310/4708 is 10/1125212.