Use our free GCF of Fractions Calculator tool to compute the GCF of 191/553, 1199/1135 i.e 1/627655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 191/553, 1199/1135.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 191/553,1199/1135
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 191/553,1199/1135, numerators are 191,1199
Denominators are 553,1135
The GCF of 191,1199 is 1 .
LCM of 553,1135 is 627655.
The greatest common factor of 191/553,1199/1135 = [GCF of 191,1199]/[LCM of 553,1135]= 1/627655
Therefore, the GCF of 191/553,1199/1135 is 1/627655.
To find the highest common factor of 191,1199, we have to find the factors of both numbers and list the highest common factor.
The factors of 191 are 1, 191
The factors of 1199 are 1, 11, 109, 1199
The HCF of 191,1199 is 1.
Lets's calculate GCF of 191,1199
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 191
:1,191
Now, list down the factors of 1199
:1,11,109,1199
Greatest Common Factor
We found the factors 191,1199 . The biggest common factor number is the GCF number.
So the greatest common factor 191,1199 is 1.
Lets's calculate LCM of 553,1135
Given numbers has no common factors except 1. So, there LCM is their product i.e 627655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/627655
Therefore, the GCF of Fractions 191/553,1199/1135 is 1/627655
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 553,1135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,1135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,1135) x common factors =1 x 1 = 1
LCM(553,1135) = ( 553 × 1135 ) / 1
LCM(553,1135) = 627655 / 1
LCM(553,1135) = 627655
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 191,1199?
The HCF of 191,1199 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 191/553, 1199/1135?
Answer: GCF of Numerators as per given numbers 191/553, 1199/1135 is
GCF of Numerators i.e. for 191,1199 is 1
LCM of denominators i.e. for 553,1135 is 627655.
Thus, GCF of Fractions is 1/627655.Finally, GCF of Fractions for 191/553, 1199/1135 is 1/627655.