Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5513/95,6633/299
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 5513,6633
Greatest Common Factor of Numerators i.e. GCF of 5513,6633 is 1 .
LCM of Denominators means LCM of 95,299 as per the given fractions.
LCM of 95,299 is 28405 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5513,6633
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5513
List of positive integer factors of 5513 that divides 5513 without a remainder.
1,37,149,5513
Factors of 6633
List of positive integer factors of 6633 that divides 6633 without a remainder.
1,3,9,11,33,67,99,201,603,737,2211,6633
Greatest Common Factor
We found the factors 5513,6633 . The biggest common factor number is the GCF number.
So the greatest common factor 5513,6633 is 1.
Lets's calculate LCM of 95,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 28405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28405
Therefore, the GCF of Fractions 5513/95,6633/299 is 1/28405
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 95,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,299) x common factors =1 x 1 = 1
LCM(95,299) = ( 95 × 299 ) / 1
LCM(95,299) = 28405 / 1
LCM(95,299) = 28405
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 5513/95, 6633/299?
Answer: GCF of Numerators as per given numbers 5513/95, 6633/299 is
GCF of Numerators i.e. for 5513,6633 is 1
LCM of denominators i.e. for 95,299 is 28405.
Thus, GCF of Fractions is 1/28405.Finally, GCF of Fractions for 5513/95, 6633/299 is 1/28405.