Use our free GCF of Fractions Calculator tool to compute the GCF of 844/401, 298/326 i.e 2/130726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/401, 298/326.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 844/401,298/326
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 844/401,298/326, numerators are 844,298
Denominators are 401,326
The GCF of 844,298 is 2 .
LCM of 401,326 is 130726.
The greatest common factor of 844/401,298/326 = [GCF of 844,298]/[LCM of 401,326]= 2/130726
Therefore, the GCF of 844/401,298/326 is 2/130726.
To find the highest common factor of 844,298, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 298 are 1, 2, 149, 298
The HCF of 844,298 is 2.
Lets's calculate GCF of 844,298
2 | 844, 298 |
422, 149 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 298
:1,2,149,298
Greatest Common Factor
We found the factors 844,298 . The biggest common factor number is the GCF number.
So the greatest common factor 844,298 is 2.
Lets's calculate LCM of 401,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 130726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130726
Therefore, the GCF of Fractions 844/401,298/326 is 2/130726
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 401,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,326) x common factors =1 x 1 = 1
LCM(401,326) = ( 401 × 326 ) / 1
LCM(401,326) = 130726 / 1
LCM(401,326) = 130726
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 844,298?
The HCF of 844,298 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 844/401, 298/326?
Answer: GCF of Numerators as per given numbers 844/401, 298/326 is
GCF of Numerators i.e. for 844,298 is 2
LCM of denominators i.e. for 401,326 is 130726.
Thus, GCF of Fractions is 2/130726.Finally, GCF of Fractions for 844/401, 298/326 is 2/130726.