Use our free GCF of Fractions Calculator tool to compute the GCF of 187/392, 298/868 i.e 1/12152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/392, 298/868.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 187/392,298/868
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 187/392,298/868, numerators are 187,298
Denominators are 392,868
The GCF of 187,298 is 1 .
LCM of 392,868 is 12152.
The greatest common factor of 187/392,298/868 = [GCF of 187,298]/[LCM of 392,868]= 1/12152
Therefore, the GCF of 187/392,298/868 is 1/12152.
To find the highest common factor of 187,298, 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 298 are 1, 2, 149, 298
The HCF of 187,298 is 1.
Lets's calculate GCF of 187,298
∴ 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 298
:1,2,149,298
Greatest Common Factor
We found the factors 187,298 . The biggest common factor number is the GCF number.
So the greatest common factor 187,298 is 1.
Lets's calculate LCM of 392,868
2 | 392, 868 |
2 | 196, 434 |
7 | 98, 217 |
14, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 14 x 31 = 12152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12152
Therefore, the GCF of Fractions 187/392,298/868 is 1/12152
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 392,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,868) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(392,868) x common factors =28 x 1 = 28
LCM(392,868) = ( 392 × 868 ) / 28
LCM(392,868) = 340256 / 28
LCM(392,868) = 12152
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 187,298?
The HCF of 187,298 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 187/392, 298/868?
Answer: GCF of Numerators as per given numbers 187/392, 298/868 is
GCF of Numerators i.e. for 187,298 is 1
LCM of denominators i.e. for 392,868 is 12152.
Thus, GCF of Fractions is 1/12152.Finally, GCF of Fractions for 187/392, 298/868 is 1/12152.