Use our free GCF of Fractions Calculator tool to compute the GCF of 9094/901, 2524/2426 i.e 2/2185826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9094/901, 2524/2426.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9094/901,2524/2426
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 9094/901,2524/2426, numerators are 9094,2524
Denominators are 901,2426
The GCF of 9094,2524 is 2 .
LCM of 901,2426 is 2185826.
The greatest common factor of 9094/901,2524/2426 = [GCF of 9094,2524]/[LCM of 901,2426]= 2/2185826
Therefore, the GCF of 9094/901,2524/2426 is 2/2185826.
To find the highest common factor of 9094,2524, we have to find the factors of both numbers and list the highest common factor.
The factors of 9094 are 1, 2, 4547, 9094
The factors of 2524 are 1, 2, 4, 631, 1262, 2524
The HCF of 9094,2524 is 2.
Lets's calculate GCF of 9094,2524
2 | 9094, 2524 |
4547, 1262 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 9094
:1,2,4547,9094
Now, list down the factors of 2524
:1,2,4,631,1262,2524
Greatest Common Factor
We found the factors 9094,2524 . The biggest common factor number is the GCF number.
So the greatest common factor 9094,2524 is 2.
Lets's calculate LCM of 901,2426
Given numbers has no common factors except 1. So, there LCM is their product i.e 2185826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2185826
Therefore, the GCF of Fractions 9094/901,2524/2426 is 2/2185826
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 901,2426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,2426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,2426) x common factors =1 x 1 = 1
LCM(901,2426) = ( 901 × 2426 ) / 1
LCM(901,2426) = 2185826 / 1
LCM(901,2426) = 2185826
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9094,2524?
The HCF of 9094,2524 is 2
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 9094/901, 2524/2426?
Answer: GCF of Numerators as per given numbers 9094/901, 2524/2426 is
GCF of Numerators i.e. for 9094,2524 is 2
LCM of denominators i.e. for 901,2426 is 2185826.
Thus, GCF of Fractions is 2/2185826.Finally, GCF of Fractions for 9094/901, 2524/2426 is 2/2185826.