Use our free GCF of Fractions Calculator tool to compute the GCF of 215/595, 655/588 i.e 5/49980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 215/595, 655/588.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 215/595,655/588
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 215/595,655/588, numerators are 215,655
Denominators are 595,588
The GCF of 215,655 is 5 .
LCM of 595,588 is 49980.
The greatest common factor of 215/595,655/588 = [GCF of 215,655]/[LCM of 595,588]= 5/49980
Therefore, the GCF of 215/595,655/588 is 5/49980.
To find the highest common factor of 215,655, we have to find the factors of both numbers and list the highest common factor.
The factors of 215 are 1, 5, 43, 215
The factors of 655 are 1, 5, 131, 655
The HCF of 215,655 is 5.
Lets's calculate GCF of 215,655
5 | 215, 655 |
43, 131 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 215
:1,5,43,215
Now, list down the factors of 655
:1,5,131,655
Greatest Common Factor
We found the factors 215,655 . The biggest common factor number is the GCF number.
So the greatest common factor 215,655 is 5.
Lets's calculate LCM of 595,588
7 | 595, 588 |
85, 84 |
∴ So the LCM of the given numbers is 7 x 85 x 84 = 49980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/49980
Therefore, the GCF of Fractions 215/595,655/588 is 5/49980
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 595,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,588) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(595,588) x common factors =7 x 1 = 7
LCM(595,588) = ( 595 × 588 ) / 7
LCM(595,588) = 349860 / 7
LCM(595,588) = 49980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 215,655?
The HCF of 215,655 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 215/595, 655/588?
Answer: GCF of Numerators as per given numbers 215/595, 655/588 is
GCF of Numerators i.e. for 215,655 is 5
LCM of denominators i.e. for 595,588 is 49980.
Thus, GCF of Fractions is 5/49980.Finally, GCF of Fractions for 215/595, 655/588 is 5/49980.