Use our free GCF of Fractions Calculator tool to compute the GCF of 411/556, 727/444 i.e 1/61716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 411/556, 727/444.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 411/556,727/444
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 411/556,727/444, numerators are 411,727
Denominators are 556,444
The GCF of 411,727 is 1 .
LCM of 556,444 is 61716.
The greatest common factor of 411/556,727/444 = [GCF of 411,727]/[LCM of 556,444]= 1/61716
Therefore, the GCF of 411/556,727/444 is 1/61716.
To find the highest common factor of 411,727, we have to find the factors of both numbers and list the highest common factor.
The factors of 411 are 1, 3, 137, 411
The factors of 727 are 1, 727
The HCF of 411,727 is 1.
Lets's calculate GCF of 411,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 411
:1,3,137,411
Now, list down the factors of 727
:1,727
Greatest Common Factor
We found the factors 411,727 . The biggest common factor number is the GCF number.
So the greatest common factor 411,727 is 1.
Lets's calculate LCM of 556,444
2 | 556, 444 |
2 | 278, 222 |
139, 111 |
∴ So the LCM of the given numbers is 2 x 2 x 139 x 111 = 61716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61716
Therefore, the GCF of Fractions 411/556,727/444 is 1/61716
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 556,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,444) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(556,444) x common factors =4 x 1 = 4
LCM(556,444) = ( 556 × 444 ) / 4
LCM(556,444) = 246864 / 4
LCM(556,444) = 61716
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 411,727?
The HCF of 411,727 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 411/556, 727/444?
Answer: GCF of Numerators as per given numbers 411/556, 727/444 is
GCF of Numerators i.e. for 411,727 is 1
LCM of denominators i.e. for 556,444 is 61716.
Thus, GCF of Fractions is 1/61716.Finally, GCF of Fractions for 411/556, 727/444 is 1/61716.