Use our free GCF of Fractions Calculator tool to compute the GCF of 215/75, 950/905 i.e 5/13575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 215/75, 950/905.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 215/75,950/905
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 215/75,950/905, numerators are 215,950
Denominators are 75,905
The GCF of 215,950 is 5 .
LCM of 75,905 is 13575.
The greatest common factor of 215/75,950/905 = [GCF of 215,950]/[LCM of 75,905]= 5/13575
Therefore, the GCF of 215/75,950/905 is 5/13575.
To find the highest common factor of 215,950, 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 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
The HCF of 215,950 is 5.
Lets's calculate GCF of 215,950
5 | 215, 950 |
43, 190 |
∴ 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 950
:1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 215,950 . The biggest common factor number is the GCF number.
So the greatest common factor 215,950 is 5.
Lets's calculate LCM of 75,905
5 | 75, 905 |
15, 181 |
∴ So the LCM of the given numbers is 5 x 15 x 181 = 13575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/13575
Therefore, the GCF of Fractions 215/75,950/905 is 5/13575
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 75,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,905) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(75,905) x common factors =5 x 1 = 5
LCM(75,905) = ( 75 × 905 ) / 5
LCM(75,905) = 67875 / 5
LCM(75,905) = 13575
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 215,950?
The HCF of 215,950 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 215/75, 950/905?
Answer: GCF of Numerators as per given numbers 215/75, 950/905 is
GCF of Numerators i.e. for 215,950 is 5
LCM of denominators i.e. for 75,905 is 13575.
Thus, GCF of Fractions is 5/13575.Finally, GCF of Fractions for 215/75, 950/905 is 5/13575.