Use our free GCF of Fractions Calculator tool to compute the GCF of 886/153, 191/120 i.e 1/6120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/153, 191/120.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/153,191/120
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 886/153,191/120, numerators are 886,191
Denominators are 153,120
The GCF of 886,191 is 1 .
LCM of 153,120 is 6120.
The greatest common factor of 886/153,191/120 = [GCF of 886,191]/[LCM of 153,120]= 1/6120
Therefore, the GCF of 886/153,191/120 is 1/6120.
To find the highest common factor of 886,191, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 191 are 1, 191
The HCF of 886,191 is 1.
Lets's calculate GCF of 886,191
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 191
:1,191
Greatest Common Factor
We found the factors 886,191 . The biggest common factor number is the GCF number.
So the greatest common factor 886,191 is 1.
Lets's calculate LCM of 153,120
3 | 153, 120 |
51, 40 |
∴ So the LCM of the given numbers is 3 x 51 x 40 = 6120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6120
Therefore, the GCF of Fractions 886/153,191/120 is 1/6120
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 153,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,120) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(153,120) x common factors =3 x 1 = 3
LCM(153,120) = ( 153 × 120 ) / 3
LCM(153,120) = 18360 / 3
LCM(153,120) = 6120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 886,191?
The HCF of 886,191 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 886/153, 191/120?
Answer: GCF of Numerators as per given numbers 886/153, 191/120 is
GCF of Numerators i.e. for 886,191 is 1
LCM of denominators i.e. for 153,120 is 6120.
Thus, GCF of Fractions is 1/6120.Finally, GCF of Fractions for 886/153, 191/120 is 1/6120.