Use our free GCF of Fractions Calculator tool to compute the GCF of 11/598, 11/5365 i.e 11/3208270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/598, 11/5365.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/598,11/5365
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 11/598,11/5365, numerators are 11,11
Denominators are 598,5365
The GCF of 11,11 is 11 .
LCM of 598,5365 is 3208270.
The greatest common factor of 11/598,11/5365 = [GCF of 11,11]/[LCM of 598,5365]= 11/3208270
Therefore, the GCF of 11/598,11/5365 is 11/3208270.
To find the highest common factor of 11,11, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 11 are 1, 11
The HCF of 11,11 is 11.
Lets's calculate GCF of 11,11
11 | 11, 11 |
1, 1 |
∴ So the GCF of the given numbers is 11 = 11
Lets's calculate LCM of 598,5365
Given numbers has no common factors except 1. So, there LCM is their product i.e 3208270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3208270
Therefore, the GCF of Fractions 11/598,11/5365 is 11/3208270
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 598,5365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,5365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(598,5365) x common factors =1 x 1 = 1
LCM(598,5365) = ( 598 × 5365 ) / 1
LCM(598,5365) = 3208270 / 1
LCM(598,5365) = 3208270
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,11?
The HCF of 11,11 is 11
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 11/598, 11/5365?
Answer: GCF of Numerators as per given numbers 11/598, 11/5365 is
GCF of Numerators i.e. for 11,11 is 11
LCM of denominators i.e. for 598,5365 is 3208270.
Thus, GCF of Fractions is 11/3208270.Finally, GCF of Fractions for 11/598, 11/5365 is 11/3208270.