Use our free GCF of Fractions Calculator tool to compute the GCF of 511/108, 194/571 i.e 1/61668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/108, 194/571.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 511/108,194/571
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 511/108,194/571, numerators are 511,194
Denominators are 108,571
The GCF of 511,194 is 1 .
LCM of 108,571 is 61668.
The greatest common factor of 511/108,194/571 = [GCF of 511,194]/[LCM of 108,571]= 1/61668
Therefore, the GCF of 511/108,194/571 is 1/61668.
To find the highest common factor of 511,194, we have to find the factors of both numbers and list the highest common factor.
The factors of 511 are 1, 7, 73, 511
The factors of 194 are 1, 2, 97, 194
The HCF of 511,194 is 1.
Lets's calculate GCF of 511,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 194
:1,2,97,194
Greatest Common Factor
We found the factors 511,194 . The biggest common factor number is the GCF number.
So the greatest common factor 511,194 is 1.
Lets's calculate LCM of 108,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 61668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61668
Therefore, the GCF of Fractions 511/108,194/571 is 1/61668
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 108,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,571) x common factors =1 x 1 = 1
LCM(108,571) = ( 108 × 571 ) / 1
LCM(108,571) = 61668 / 1
LCM(108,571) = 61668
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 511,194?
The HCF of 511,194 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 511/108, 194/571?
Answer: GCF of Numerators as per given numbers 511/108, 194/571 is
GCF of Numerators i.e. for 511,194 is 1
LCM of denominators i.e. for 108,571 is 61668.
Thus, GCF of Fractions is 1/61668.Finally, GCF of Fractions for 511/108, 194/571 is 1/61668.