Use our free GCF of Fractions Calculator tool to compute the GCF of 4926/246, 3575/8656 i.e 1/1064688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4926/246, 3575/8656.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4926/246,3575/8656
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 4926/246,3575/8656, numerators are 4926,3575
Denominators are 246,8656
The GCF of 4926,3575 is 1 .
LCM of 246,8656 is 1064688.
The greatest common factor of 4926/246,3575/8656 = [GCF of 4926,3575]/[LCM of 246,8656]= 1/1064688
Therefore, the GCF of 4926/246,3575/8656 is 1/1064688.
To find the highest common factor of 4926,3575, we have to find the factors of both numbers and list the highest common factor.
The factors of 4926 are 1, 2, 3, 6, 821, 1642, 2463, 4926
The factors of 3575 are 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575
The HCF of 4926,3575 is 1.
Lets's calculate GCF of 4926,3575
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4926
:1,2,3,6,821,1642,2463,4926
Now, list down the factors of 3575
:1,5,11,13,25,55,65,143,275,325,715,3575
Greatest Common Factor
We found the factors 4926,3575 . The biggest common factor number is the GCF number.
So the greatest common factor 4926,3575 is 1.
Lets's calculate LCM of 246,8656
2 | 246, 8656 |
123, 4328 |
∴ So the LCM of the given numbers is 2 x 123 x 4328 = 1064688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1064688
Therefore, the GCF of Fractions 4926/246,3575/8656 is 1/1064688
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 246,8656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,8656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(246,8656) x common factors =2 x 1 = 2
LCM(246,8656) = ( 246 × 8656 ) / 2
LCM(246,8656) = 2129376 / 2
LCM(246,8656) = 1064688
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4926,3575?
The HCF of 4926,3575 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 4926/246, 3575/8656?
Answer: GCF of Numerators as per given numbers 4926/246, 3575/8656 is
GCF of Numerators i.e. for 4926,3575 is 1
LCM of denominators i.e. for 246,8656 is 1064688.
Thus, GCF of Fractions is 1/1064688.Finally, GCF of Fractions for 4926/246, 3575/8656 is 1/1064688.