Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/515,811/812
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 15,811
Greatest Common Factor of Numerators i.e. GCF of 15,811 is 1 .
LCM of Denominators means LCM of 515,812 as per the given fractions.
LCM of 515,812 is 418180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 15,811 . The biggest common factor number is the GCF number.
So the greatest common factor 15,811 is 1.
Lets's calculate LCM of 515,812
Given numbers has no common factors except 1. So, there LCM is their product i.e 418180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418180
Therefore, the GCF of Fractions 15/515,811/812 is 1/418180
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 515,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,812) x common factors =1 x 1 = 1
LCM(515,812) = ( 515 × 812 ) / 1
LCM(515,812) = 418180 / 1
LCM(515,812) = 418180
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 15/515, 811/812?
Answer: GCF of Numerators as per given numbers 15/515, 811/812 is
GCF of Numerators i.e. for 15,811 is 1
LCM of denominators i.e. for 515,812 is 418180.
Thus, GCF of Fractions is 1/418180.Finally, GCF of Fractions for 15/515, 811/812 is 1/418180.