Use our free GCF of Fractions Calculator tool to compute the GCF of 878/668, 449/744 i.e 1/124248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/668, 449/744.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 878/668,449/744
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 878/668,449/744, numerators are 878,449
Denominators are 668,744
The GCF of 878,449 is 1 .
LCM of 668,744 is 124248.
The greatest common factor of 878/668,449/744 = [GCF of 878,449]/[LCM of 668,744]= 1/124248
Therefore, the GCF of 878/668,449/744 is 1/124248.
To find the highest common factor of 878,449, we have to find the factors of both numbers and list the highest common factor.
The factors of 878 are 1, 2, 439, 878
The factors of 449 are 1, 449
The HCF of 878,449 is 1.
Lets's calculate GCF of 878,449
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 878
:1,2,439,878
Now, list down the factors of 449
:1,449
Greatest Common Factor
We found the factors 878,449 . The biggest common factor number is the GCF number.
So the greatest common factor 878,449 is 1.
Lets's calculate LCM of 668,744
2 | 668, 744 |
2 | 334, 372 |
167, 186 |
∴ So the LCM of the given numbers is 2 x 2 x 167 x 186 = 124248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124248
Therefore, the GCF of Fractions 878/668,449/744 is 1/124248
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 668,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,744) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(668,744) x common factors =4 x 1 = 4
LCM(668,744) = ( 668 × 744 ) / 4
LCM(668,744) = 496992 / 4
LCM(668,744) = 124248
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 878,449?
The HCF of 878,449 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 878/668, 449/744?
Answer: GCF of Numerators as per given numbers 878/668, 449/744 is
GCF of Numerators i.e. for 878,449 is 1
LCM of denominators i.e. for 668,744 is 124248.
Thus, GCF of Fractions is 1/124248.Finally, GCF of Fractions for 878/668, 449/744 is 1/124248.