Use our free GCF of Fractions Calculator tool to compute the GCF of 102/187, 191/460 i.e 1/86020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 102/187, 191/460.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 102/187,191/460
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 102/187,191/460, numerators are 102,191
Denominators are 187,460
The GCF of 102,191 is 1 .
LCM of 187,460 is 86020.
The greatest common factor of 102/187,191/460 = [GCF of 102,191]/[LCM of 187,460]= 1/86020
Therefore, the GCF of 102/187,191/460 is 1/86020.
To find the highest common factor of 102,191, we have to find the factors of both numbers and list the highest common factor.
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The factors of 191 are 1, 191
The HCF of 102,191 is 1.
Lets's calculate GCF of 102,191
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Now, list down the factors of 191
:1,191
Greatest Common Factor
We found the factors 102,191 . The biggest common factor number is the GCF number.
So the greatest common factor 102,191 is 1.
Lets's calculate LCM of 187,460
Given numbers has no common factors except 1. So, there LCM is their product i.e 86020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86020
Therefore, the GCF of Fractions 102/187,191/460 is 1/86020
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 187,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,460) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,460) x common factors =1 x 1 = 1
LCM(187,460) = ( 187 × 460 ) / 1
LCM(187,460) = 86020 / 1
LCM(187,460) = 86020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 102,191?
The HCF of 102,191 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 102/187, 191/460?
Answer: GCF of Numerators as per given numbers 102/187, 191/460 is
GCF of Numerators i.e. for 102,191 is 1
LCM of denominators i.e. for 187,460 is 86020.
Thus, GCF of Fractions is 1/86020.Finally, GCF of Fractions for 102/187, 191/460 is 1/86020.