Use our free GCF of Fractions Calculator tool to compute the GCF of 838/450, 915/714 i.e 1/53550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 838/450, 915/714.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 838/450,915/714
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 838/450,915/714, numerators are 838,915
Denominators are 450,714
The GCF of 838,915 is 1 .
LCM of 450,714 is 53550.
The greatest common factor of 838/450,915/714 = [GCF of 838,915]/[LCM of 450,714]= 1/53550
Therefore, the GCF of 838/450,915/714 is 1/53550.
To find the highest common factor of 838,915, we have to find the factors of both numbers and list the highest common factor.
The factors of 838 are 1, 2, 419, 838
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The HCF of 838,915 is 1.
Lets's calculate GCF of 838,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 838,915 . The biggest common factor number is the GCF number.
So the greatest common factor 838,915 is 1.
Lets's calculate LCM of 450,714
2 | 450, 714 |
3 | 225, 357 |
75, 119 |
∴ So the LCM of the given numbers is 2 x 3 x 75 x 119 = 53550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53550
Therefore, the GCF of Fractions 838/450,915/714 is 1/53550
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 450,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,714) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(450,714) x common factors =6 x 1 = 6
LCM(450,714) = ( 450 × 714 ) / 6
LCM(450,714) = 321300 / 6
LCM(450,714) = 53550
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 838,915?
The HCF of 838,915 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 838/450, 915/714?
Answer: GCF of Numerators as per given numbers 838/450, 915/714 is
GCF of Numerators i.e. for 838,915 is 1
LCM of denominators i.e. for 450,714 is 53550.
Thus, GCF of Fractions is 1/53550.Finally, GCF of Fractions for 838/450, 915/714 is 1/53550.