Use our free GCF of Fractions Calculator tool to compute the GCF of 187/929, 161/554 i.e 1/514666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/929, 161/554.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 187/929,161/554
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 187/929,161/554, numerators are 187,161
Denominators are 929,554
The GCF of 187,161 is 1 .
LCM of 929,554 is 514666.
The greatest common factor of 187/929,161/554 = [GCF of 187,161]/[LCM of 929,554]= 1/514666
Therefore, the GCF of 187/929,161/554 is 1/514666.
To find the highest common factor of 187,161, we have to find the factors of both numbers and list the highest common factor.
The factors of 187 are 1, 11, 17, 187
The factors of 161 are 1, 7, 23, 161
The HCF of 187,161 is 1.
Lets's calculate GCF of 187,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 187
:1,11,17,187
Now, list down the factors of 161
:1,7,23,161
Greatest Common Factor
We found the factors 187,161 . The biggest common factor number is the GCF number.
So the greatest common factor 187,161 is 1.
Lets's calculate LCM of 929,554
Given numbers has no common factors except 1. So, there LCM is their product i.e 514666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/514666
Therefore, the GCF of Fractions 187/929,161/554 is 1/514666
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 929,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,554) x common factors =1 x 1 = 1
LCM(929,554) = ( 929 × 554 ) / 1
LCM(929,554) = 514666 / 1
LCM(929,554) = 514666
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 187,161?
The HCF of 187,161 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 187/929, 161/554?
Answer: GCF of Numerators as per given numbers 187/929, 161/554 is
GCF of Numerators i.e. for 187,161 is 1
LCM of denominators i.e. for 929,554 is 514666.
Thus, GCF of Fractions is 1/514666.Finally, GCF of Fractions for 187/929, 161/554 is 1/514666.