Use our free GCF of Fractions Calculator tool to compute the GCF of 20/798, 255/600, 710/360 i.e 5/239400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/798, 255/600, 710/360.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/798,255/600,710/360
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 20/798,255/600,710/360, numerators are 20,255,710
Denominators are 798,600,360
The GCF of 20,255,710 is 5 .
LCM of 798,600,360 is 239400.
The greatest common factor of 20/798,255/600,710/360 = [GCF of 20,255,710]/[LCM of 798,600,360]= 5/239400
Therefore, the GCF of 20/798,255/600,710/360 is 5/239400.
To find the highest common factor of 20,255,710, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The HCF of 20,255,710 is 5.
Lets's calculate GCF of 20,255,710
5 | 20, 255, 710 |
4, 51, 142 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 20,255,710 . The biggest common factor number is the GCF number.
So the greatest common factor 20,255,710 is 5.
Lets's calculate LCM of 798,600,360
2 | 798, 600, 360 |
2 | 399, 300, 180 |
2 | 399, 150, 90 |
3 | 399, 75, 45 |
5 | 133, 25, 15 |
133, 5, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 133 x 5 x 3 = 239400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/239400
Therefore, the GCF of Fractions 20/798,255/600,710/360 is 5/239400
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 798,600,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,600,360) = 6
common factors(in case of two or more numbers have common factors) = 120
GCF(798,600,360) x common factors =6 x 120 = 720
LCM(798,600,360) = ( 798 × 600 × 360 ) / 720
LCM(798,600,360) = 172368000 / 720
LCM(798,600,360) = 239400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,255,710?
The HCF of 20,255,710 is 5
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 20/798, 255/600, 710/360?
Answer: GCF of Numerators as per given numbers 20/798, 255/600, 710/360 is
GCF of Numerators i.e. for 20,255,710 is 5
LCM of denominators i.e. for 798,600,360 is 239400.
Thus, GCF of Fractions is 5/239400.Finally, GCF of Fractions for 20/798, 255/600, 710/360 is 5/239400.