Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4935/915,2411/3553
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 4935,2411
Greatest Common Factor of Numerators i.e. GCF of 4935,2411 is 1 .
LCM of Denominators means LCM of 915,3553 as per the given fractions.
LCM of 915,3553 is 3250995 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4935,2411
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4935
List of positive integer factors of 4935 that divides 4935 without a remainder.
1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935
Factors of 2411
List of positive integer factors of 2411 that divides 2411 without a remainder.
1,2411
Greatest Common Factor
We found the factors 4935,2411 . The biggest common factor number is the GCF number.
So the greatest common factor 4935,2411 is 1.
Lets's calculate LCM of 915,3553
Given numbers has no common factors except 1. So, there LCM is their product i.e 3250995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3250995
Therefore, the GCF of Fractions 4935/915,2411/3553 is 1/3250995
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 915,3553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,3553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(915,3553) x common factors =1 x 1 = 1
LCM(915,3553) = ( 915 × 3553 ) / 1
LCM(915,3553) = 3250995 / 1
LCM(915,3553) = 3250995
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 4935/915, 2411/3553?
Answer: GCF of Numerators as per given numbers 4935/915, 2411/3553 is
GCF of Numerators i.e. for 4935,2411 is 1
LCM of denominators i.e. for 915,3553 is 3250995.
Thus, GCF of Fractions is 1/3250995.Finally, GCF of Fractions for 4935/915, 2411/3553 is 1/3250995.