Use our free GCF of Fractions Calculator tool to compute the GCF of 539/536, 406/599 i.e 7/321064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 539/536, 406/599.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 539/536,406/599
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 539/536,406/599, numerators are 539,406
Denominators are 536,599
The GCF of 539,406 is 7 .
LCM of 536,599 is 321064.
The greatest common factor of 539/536,406/599 = [GCF of 539,406]/[LCM of 536,599]= 7/321064
Therefore, the GCF of 539/536,406/599 is 7/321064.
To find the highest common factor of 539,406, we have to find the factors of both numbers and list the highest common factor.
The factors of 539 are 1, 7, 11, 49, 77, 539
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The HCF of 539,406 is 7.
Lets's calculate GCF of 539,406
7 | 539, 406 |
77, 58 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 539
:1,7,11,49,77,539
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 539,406 . The biggest common factor number is the GCF number.
So the greatest common factor 539,406 is 7.
Lets's calculate LCM of 536,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 321064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/321064
Therefore, the GCF of Fractions 539/536,406/599 is 7/321064
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 536,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,599) x common factors =1 x 1 = 1
LCM(536,599) = ( 536 × 599 ) / 1
LCM(536,599) = 321064 / 1
LCM(536,599) = 321064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 539,406?
The HCF of 539,406 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 539/536, 406/599?
Answer: GCF of Numerators as per given numbers 539/536, 406/599 is
GCF of Numerators i.e. for 539,406 is 7
LCM of denominators i.e. for 536,599 is 321064.
Thus, GCF of Fractions is 7/321064.Finally, GCF of Fractions for 539/536, 406/599 is 7/321064.