Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 811/863,3857/850
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 811,3857
Greatest Common Factor of Numerators i.e. GCF of 811,3857 is 1 .
LCM of Denominators means LCM of 863,850 as per the given fractions.
LCM of 863,850 is 733550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 811,3857
∴ 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 3857
List of positive integer factors of 3857 that divides 3857 without a remainder.
1,7,19,29,133,203,551,3857
Greatest Common Factor
We found the factors 811,3857 . The biggest common factor number is the GCF number.
So the greatest common factor 811,3857 is 1.
Lets's calculate LCM of 863,850
Given numbers has no common factors except 1. So, there LCM is their product i.e 733550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/733550
Therefore, the GCF of Fractions 811/863,3857/850 is 1/733550
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 863,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,850) x common factors =1 x 1 = 1
LCM(863,850) = ( 863 × 850 ) / 1
LCM(863,850) = 733550 / 1
LCM(863,850) = 733550
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 811/863, 3857/850?
Answer: GCF of Numerators as per given numbers 811/863, 3857/850 is
GCF of Numerators i.e. for 811,3857 is 1
LCM of denominators i.e. for 863,850 is 733550.
Thus, GCF of Fractions is 1/733550.Finally, GCF of Fractions for 811/863, 3857/850 is 1/733550.