Use our free GCF of Fractions Calculator tool to compute the GCF of 231/382, 293/418 i.e 1/79838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 231/382, 293/418.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 231/382,293/418
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 231/382,293/418, numerators are 231,293
Denominators are 382,418
The GCF of 231,293 is 1 .
LCM of 382,418 is 79838.
The greatest common factor of 231/382,293/418 = [GCF of 231,293]/[LCM of 382,418]= 1/79838
Therefore, the GCF of 231/382,293/418 is 1/79838.
To find the highest common factor of 231,293, we have to find the factors of both numbers and list the highest common factor.
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The factors of 293 are 1, 293
The HCF of 231,293 is 1.
Lets's calculate GCF of 231,293
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Now, list down the factors of 293
:1,293
Greatest Common Factor
We found the factors 231,293 . The biggest common factor number is the GCF number.
So the greatest common factor 231,293 is 1.
Lets's calculate LCM of 382,418
2 | 382, 418 |
191, 209 |
∴ So the LCM of the given numbers is 2 x 191 x 209 = 79838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79838
Therefore, the GCF of Fractions 231/382,293/418 is 1/79838
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 382,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,418) x common factors =2 x 1 = 2
LCM(382,418) = ( 382 × 418 ) / 2
LCM(382,418) = 159676 / 2
LCM(382,418) = 79838
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 231,293?
The HCF of 231,293 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 231/382, 293/418?
Answer: GCF of Numerators as per given numbers 231/382, 293/418 is
GCF of Numerators i.e. for 231,293 is 1
LCM of denominators i.e. for 382,418 is 79838.
Thus, GCF of Fractions is 1/79838.Finally, GCF of Fractions for 231/382, 293/418 is 1/79838.