Use our free GCF of Fractions Calculator tool to compute the GCF of 7259/818, 3834/9496 i.e 1/3883864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7259/818, 3834/9496.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7259/818,3834/9496
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 7259/818,3834/9496, numerators are 7259,3834
Denominators are 818,9496
The GCF of 7259,3834 is 1 .
LCM of 818,9496 is 3883864.
The greatest common factor of 7259/818,3834/9496 = [GCF of 7259,3834]/[LCM of 818,9496]= 1/3883864
Therefore, the GCF of 7259/818,3834/9496 is 1/3883864.
To find the highest common factor of 7259,3834, we have to find the factors of both numbers and list the highest common factor.
The factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259
The factors of 3834 are 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834
The HCF of 7259,3834 is 1.
Lets's calculate GCF of 7259,3834
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7259
:1,7,17,61,119,427,1037,7259
Now, list down the factors of 3834
:1,2,3,6,9,18,27,54,71,142,213,426,639,1278,1917,3834
Greatest Common Factor
We found the factors 7259,3834 . The biggest common factor number is the GCF number.
So the greatest common factor 7259,3834 is 1.
Lets's calculate LCM of 818,9496
2 | 818, 9496 |
409, 4748 |
∴ So the LCM of the given numbers is 2 x 409 x 4748 = 3883864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3883864
Therefore, the GCF of Fractions 7259/818,3834/9496 is 1/3883864
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 818,9496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,9496) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,9496) x common factors =2 x 1 = 2
LCM(818,9496) = ( 818 × 9496 ) / 2
LCM(818,9496) = 7767728 / 2
LCM(818,9496) = 3883864
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7259,3834?
The HCF of 7259,3834 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 7259/818, 3834/9496?
Answer: GCF of Numerators as per given numbers 7259/818, 3834/9496 is
GCF of Numerators i.e. for 7259,3834 is 1
LCM of denominators i.e. for 818,9496 is 3883864.
Thus, GCF of Fractions is 1/3883864.Finally, GCF of Fractions for 7259/818, 3834/9496 is 1/3883864.