Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2215/51,2963/848
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 2215,2963
Greatest Common Factor of Numerators i.e. GCF of 2215,2963 is 1 .
LCM of Denominators means LCM of 51,848 as per the given fractions.
LCM of 51,848 is 43248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2215,2963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2215
List of positive integer factors of 2215 that divides 2215 without a remainder.
1,5,443,2215
Factors of 2963
List of positive integer factors of 2963 that divides 2963 without a remainder.
1,2963
Greatest Common Factor
We found the factors 2215,2963 . The biggest common factor number is the GCF number.
So the greatest common factor 2215,2963 is 1.
Lets's calculate LCM of 51,848
Given numbers has no common factors except 1. So, there LCM is their product i.e 43248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43248
Therefore, the GCF of Fractions 2215/51,2963/848 is 1/43248
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 51,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,848) x common factors =1 x 1 = 1
LCM(51,848) = ( 51 × 848 ) / 1
LCM(51,848) = 43248 / 1
LCM(51,848) = 43248
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 2215/51, 2963/848?
Answer: GCF of Numerators as per given numbers 2215/51, 2963/848 is
GCF of Numerators i.e. for 2215,2963 is 1
LCM of denominators i.e. for 51,848 is 43248.
Thus, GCF of Fractions is 1/43248.Finally, GCF of Fractions for 2215/51, 2963/848 is 1/43248.