Use our free GCF of Fractions Calculator tool to compute the GCF of 82/649, 418/784, 440/587 i.e 2/298674992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/649, 418/784, 440/587.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/649,418/784,440/587
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 82/649,418/784,440/587, numerators are 82,418,440
Denominators are 649,784,587
The GCF of 82,418,440 is 2 .
LCM of 649,784,587 is 298674992.
The greatest common factor of 82/649,418/784,440/587 = [GCF of 82,418,440]/[LCM of 649,784,587]= 2/298674992
Therefore, the GCF of 82/649,418/784,440/587 is 2/298674992.
To find the highest common factor of 82,418,440, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The HCF of 82,418,440 is 2.
Lets's calculate GCF of 82,418,440
2 | 82, 418, 440 |
41, 209, 220 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 418
:1,2,11,19,22,38,209,418
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 82,418,440 . The biggest common factor number is the GCF number.
So the greatest common factor 82,418,440 is 2.
Lets's calculate LCM of 649,784,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 298674992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/298674992
Therefore, the GCF of Fractions 82/649,418/784,440/587 is 2/298674992
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 649,784,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,784,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,784,587) x common factors =1 x 1 = 1
LCM(649,784,587) = ( 649 × 784 × 587 ) / 1
LCM(649,784,587) = 298674992 / 1
LCM(649,784,587) = 298674992
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 82,418,440?
The HCF of 82,418,440 is 2
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 82/649, 418/784, 440/587?
Answer: GCF of Numerators as per given numbers 82/649, 418/784, 440/587 is
GCF of Numerators i.e. for 82,418,440 is 2
LCM of denominators i.e. for 649,784,587 is 298674992.
Thus, GCF of Fractions is 2/298674992.Finally, GCF of Fractions for 82/649, 418/784, 440/587 is 2/298674992.