Use our free GCF of Fractions Calculator tool to compute the GCF of 886/268, 449/628 i.e 1/42076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/268, 449/628.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/268,449/628
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 886/268,449/628, numerators are 886,449
Denominators are 268,628
The GCF of 886,449 is 1 .
LCM of 268,628 is 42076.
The greatest common factor of 886/268,449/628 = [GCF of 886,449]/[LCM of 268,628]= 1/42076
Therefore, the GCF of 886/268,449/628 is 1/42076.
To find the highest common factor of 886,449, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 449 are 1, 449
The HCF of 886,449 is 1.
Lets's calculate GCF of 886,449
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 449
:1,449
Greatest Common Factor
We found the factors 886,449 . The biggest common factor number is the GCF number.
So the greatest common factor 886,449 is 1.
Lets's calculate LCM of 268,628
2 | 268, 628 |
2 | 134, 314 |
67, 157 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 157 = 42076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42076
Therefore, the GCF of Fractions 886/268,449/628 is 1/42076
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 268,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,628) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(268,628) x common factors =4 x 1 = 4
LCM(268,628) = ( 268 × 628 ) / 4
LCM(268,628) = 168304 / 4
LCM(268,628) = 42076
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 886,449?
The HCF of 886,449 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 886/268, 449/628?
Answer: GCF of Numerators as per given numbers 886/268, 449/628 is
GCF of Numerators i.e. for 886,449 is 1
LCM of denominators i.e. for 268,628 is 42076.
Thus, GCF of Fractions is 1/42076.Finally, GCF of Fractions for 886/268, 449/628 is 1/42076.