Use our free GCF of Fractions Calculator tool to compute the GCF of 39/778, 82/180, 584/180 i.e 1/70020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/778, 82/180, 584/180.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/778,82/180,584/180
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 39/778,82/180,584/180, numerators are 39,82,584
Denominators are 778,180,180
The GCF of 39,82,584 is 1 .
LCM of 778,180,180 is 70020.
The greatest common factor of 39/778,82/180,584/180 = [GCF of 39,82,584]/[LCM of 778,180,180]= 1/70020
Therefore, the GCF of 39/778,82/180,584/180 is 1/70020.
To find the highest common factor of 39,82,584, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 82 are 1, 2, 41, 82
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584
The HCF of 39,82,584 is 1.
Lets's calculate GCF of 39,82,584
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 584
:1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 39,82,584 . The biggest common factor number is the GCF number.
So the greatest common factor 39,82,584 is 1.
Lets's calculate LCM of 778,180,180
2 | 778, 180, 180 |
2 | 389, 90, 90 |
3 | 389, 45, 45 |
3 | 389, 15, 15 |
5 | 389, 5, 5 |
389, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 389 x 1 x 1 = 70020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70020
Therefore, the GCF of Fractions 39/778,82/180,584/180 is 1/70020
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 778,180,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,180,180) = 2
common factors(in case of two or more numbers have common factors) = 180
GCF(778,180,180) x common factors =2 x 180 = 360
LCM(778,180,180) = ( 778 × 180 × 180 ) / 360
LCM(778,180,180) = 25207200 / 360
LCM(778,180,180) = 70020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 39,82,584?
The HCF of 39,82,584 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 39/778, 82/180, 584/180?
Answer: GCF of Numerators as per given numbers 39/778, 82/180, 584/180 is
GCF of Numerators i.e. for 39,82,584 is 1
LCM of denominators i.e. for 778,180,180 is 70020.
Thus, GCF of Fractions is 1/70020.Finally, GCF of Fractions for 39/778, 82/180, 584/180 is 1/70020.