Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 811/209,8654/645
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 811,8654
Greatest Common Factor of Numerators i.e. GCF of 811,8654 is 1 .
LCM of Denominators means LCM of 209,645 as per the given fractions.
LCM of 209,645 is 134805 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 811,8654
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 8654
List of positive integer factors of 8654 that divides 8654 without a remainder.
1,2,4327,8654
Greatest Common Factor
We found the factors 811,8654 . The biggest common factor number is the GCF number.
So the greatest common factor 811,8654 is 1.
Lets's calculate LCM of 209,645
Given numbers has no common factors except 1. So, there LCM is their product i.e 134805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134805
Therefore, the GCF of Fractions 811/209,8654/645 is 1/134805
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 209,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,645) x common factors =1 x 1 = 1
LCM(209,645) = ( 209 × 645 ) / 1
LCM(209,645) = 134805 / 1
LCM(209,645) = 134805
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 811/209, 8654/645?
Answer: GCF of Numerators as per given numbers 811/209, 8654/645 is
GCF of Numerators i.e. for 811,8654 is 1
LCM of denominators i.e. for 209,645 is 134805.
Thus, GCF of Fractions is 1/134805.Finally, GCF of Fractions for 811/209, 8654/645 is 1/134805.