Use our free GCF of Fractions Calculator tool to compute the GCF of 233/241, 247/836 i.e 1/201476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/241, 247/836.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 233/241,247/836
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 233/241,247/836, numerators are 233,247
Denominators are 241,836
The GCF of 233,247 is 1 .
LCM of 241,836 is 201476.
The greatest common factor of 233/241,247/836 = [GCF of 233,247]/[LCM of 241,836]= 1/201476
Therefore, the GCF of 233/241,247/836 is 1/201476.
To find the highest common factor of 233,247, we have to find the factors of both numbers and list the highest common factor.
The factors of 233 are 1, 233
The factors of 247 are 1, 13, 19, 247
The HCF of 233,247 is 1.
Lets's calculate GCF of 233,247
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 233
:1,233
Now, list down the factors of 247
:1,13,19,247
Greatest Common Factor
We found the factors 233,247 . The biggest common factor number is the GCF number.
So the greatest common factor 233,247 is 1.
Lets's calculate LCM of 241,836
Given numbers has no common factors except 1. So, there LCM is their product i.e 201476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201476
Therefore, the GCF of Fractions 233/241,247/836 is 1/201476
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 241,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,836) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,836) x common factors =1 x 1 = 1
LCM(241,836) = ( 241 × 836 ) / 1
LCM(241,836) = 201476 / 1
LCM(241,836) = 201476
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 233,247?
The HCF of 233,247 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 233/241, 247/836?
Answer: GCF of Numerators as per given numbers 233/241, 247/836 is
GCF of Numerators i.e. for 233,247 is 1
LCM of denominators i.e. for 241,836 is 201476.
Thus, GCF of Fractions is 1/201476.Finally, GCF of Fractions for 233/241, 247/836 is 1/201476.