Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2845/135,8863/511
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 2845,8863
Greatest Common Factor of Numerators i.e. GCF of 2845,8863 is 1 .
LCM of Denominators means LCM of 135,511 as per the given fractions.
LCM of 135,511 is 68985 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2845,8863
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2845
List of positive integer factors of 2845 that divides 2845 without a remainder.
1,5,569,2845
Factors of 8863
List of positive integer factors of 8863 that divides 8863 without a remainder.
1,8863
Greatest Common Factor
We found the factors 2845,8863 . The biggest common factor number is the GCF number.
So the greatest common factor 2845,8863 is 1.
Lets's calculate LCM of 135,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 68985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68985
Therefore, the GCF of Fractions 2845/135,8863/511 is 1/68985
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 135,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,511) x common factors =1 x 1 = 1
LCM(135,511) = ( 135 × 511 ) / 1
LCM(135,511) = 68985 / 1
LCM(135,511) = 68985
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 2845/135, 8863/511?
Answer: GCF of Numerators as per given numbers 2845/135, 8863/511 is
GCF of Numerators i.e. for 2845,8863 is 1
LCM of denominators i.e. for 135,511 is 68985.
Thus, GCF of Fractions is 1/68985.Finally, GCF of Fractions for 2845/135, 8863/511 is 1/68985.