Use our free GCF of Fractions Calculator tool to compute the GCF of 79/319, 82/399, 300/880 i.e 1/10182480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/319, 82/399, 300/880.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/319,82/399,300/880
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 79/319,82/399,300/880, numerators are 79,82,300
Denominators are 319,399,880
The GCF of 79,82,300 is 1 .
LCM of 319,399,880 is 10182480.
The greatest common factor of 79/319,82/399,300/880 = [GCF of 79,82,300]/[LCM of 319,399,880]= 1/10182480
Therefore, the GCF of 79/319,82/399,300/880 is 1/10182480.
To find the highest common factor of 79,82,300, we have to find the factors of both numbers and list the highest common factor.
The factors of 79 are 1, 79
The factors of 82 are 1, 2, 41, 82
The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
The HCF of 79,82,300 is 1.
Lets's calculate GCF of 79,82,300
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 79
:1,79
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 300
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 79,82,300 . The biggest common factor number is the GCF number.
So the greatest common factor 79,82,300 is 1.
Lets's calculate LCM of 319,399,880
11 | 319, 399, 880 |
29, 399, 80 |
∴ So the LCM of the given numbers is 11 x 29 x 399 x 80 = 10182480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10182480
Therefore, the GCF of Fractions 79/319,82/399,300/880 is 1/10182480
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 319,399,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,399,880) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(319,399,880) x common factors =1 x 11 = 11
LCM(319,399,880) = ( 319 × 399 × 880 ) / 11
LCM(319,399,880) = 112007280 / 11
LCM(319,399,880) = 10182480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 79,82,300?
The HCF of 79,82,300 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 79/319, 82/399, 300/880?
Answer: GCF of Numerators as per given numbers 79/319, 82/399, 300/880 is
GCF of Numerators i.e. for 79,82,300 is 1
LCM of denominators i.e. for 319,399,880 is 10182480.
Thus, GCF of Fractions is 1/10182480.Finally, GCF of Fractions for 79/319, 82/399, 300/880 is 1/10182480.