Use our free GCF of Fractions Calculator tool to compute the GCF of 812/541, 539/830 i.e 7/449030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/541, 539/830.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 812/541,539/830
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 812/541,539/830, numerators are 812,539
Denominators are 541,830
The GCF of 812,539 is 7 .
LCM of 541,830 is 449030.
The greatest common factor of 812/541,539/830 = [GCF of 812,539]/[LCM of 541,830]= 7/449030
Therefore, the GCF of 812/541,539/830 is 7/449030.
To find the highest common factor of 812,539, we have to find the factors of both numbers and list the highest common factor.
The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The factors of 539 are 1, 7, 11, 49, 77, 539
The HCF of 812,539 is 7.
Lets's calculate GCF of 812,539
7 | 812, 539 |
116, 77 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 812
:1,2,4,7,14,28,29,58,116,203,406,812
Now, list down the factors of 539
:1,7,11,49,77,539
Greatest Common Factor
We found the factors 812,539 . The biggest common factor number is the GCF number.
So the greatest common factor 812,539 is 7.
Lets's calculate LCM of 541,830
Given numbers has no common factors except 1. So, there LCM is their product i.e 449030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/449030
Therefore, the GCF of Fractions 812/541,539/830 is 7/449030
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 541,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,830) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,830) x common factors =1 x 1 = 1
LCM(541,830) = ( 541 × 830 ) / 1
LCM(541,830) = 449030 / 1
LCM(541,830) = 449030
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 812,539?
The HCF of 812,539 is 7
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 812/541, 539/830?
Answer: GCF of Numerators as per given numbers 812/541, 539/830 is
GCF of Numerators i.e. for 812,539 is 7
LCM of denominators i.e. for 541,830 is 449030.
Thus, GCF of Fractions is 7/449030.Finally, GCF of Fractions for 812/541, 539/830 is 7/449030.