Use our free GCF of Fractions Calculator tool to compute the GCF of 911/185, 226/206 i.e 1/38110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/185, 226/206.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 911/185,226/206
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 911/185,226/206, numerators are 911,226
Denominators are 185,206
The GCF of 911,226 is 1 .
LCM of 185,206 is 38110.
The greatest common factor of 911/185,226/206 = [GCF of 911,226]/[LCM of 185,206]= 1/38110
Therefore, the GCF of 911/185,226/206 is 1/38110.
To find the highest common factor of 911,226, we have to find the factors of both numbers and list the highest common factor.
The factors of 911 are 1, 911
The factors of 226 are 1, 2, 113, 226
The HCF of 911,226 is 1.
Lets's calculate GCF of 911,226
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 911
:1,911
Now, list down the factors of 226
:1,2,113,226
Greatest Common Factor
We found the factors 911,226 . The biggest common factor number is the GCF number.
So the greatest common factor 911,226 is 1.
Lets's calculate LCM of 185,206
Given numbers has no common factors except 1. So, there LCM is their product i.e 38110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38110
Therefore, the GCF of Fractions 911/185,226/206 is 1/38110
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 185,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,206) x common factors =1 x 1 = 1
LCM(185,206) = ( 185 × 206 ) / 1
LCM(185,206) = 38110 / 1
LCM(185,206) = 38110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 911,226?
The HCF of 911,226 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 911/185, 226/206?
Answer: GCF of Numerators as per given numbers 911/185, 226/206 is
GCF of Numerators i.e. for 911,226 is 1
LCM of denominators i.e. for 185,206 is 38110.
Thus, GCF of Fractions is 1/38110.Finally, GCF of Fractions for 911/185, 226/206 is 1/38110.