Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 401/827,1881/1986
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 401,1881
Greatest Common Factor of Numerators i.e. GCF of 401,1881 is 1 .
LCM of Denominators means LCM of 827,1986 as per the given fractions.
LCM of 827,1986 is 1642422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 401,1881
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 1881
List of positive integer factors of 1881 that divides 1881 without a remainder.
1,3,9,11,19,33,57,99,171,209,627,1881
Greatest Common Factor
We found the factors 401,1881 . The biggest common factor number is the GCF number.
So the greatest common factor 401,1881 is 1.
Lets's calculate LCM of 827,1986
Given numbers has no common factors except 1. So, there LCM is their product i.e 1642422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1642422
Therefore, the GCF of Fractions 401/827,1881/1986 is 1/1642422
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 827,1986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,1986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,1986) x common factors =1 x 1 = 1
LCM(827,1986) = ( 827 × 1986 ) / 1
LCM(827,1986) = 1642422 / 1
LCM(827,1986) = 1642422
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 401/827, 1881/1986?
Answer: GCF of Numerators as per given numbers 401/827, 1881/1986 is
GCF of Numerators i.e. for 401,1881 is 1
LCM of denominators i.e. for 827,1986 is 1642422.
Thus, GCF of Fractions is 1/1642422.Finally, GCF of Fractions for 401/827, 1881/1986 is 1/1642422.