Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 206/919,5405/9461
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 206,5405
Greatest Common Factor of Numerators i.e. GCF of 206,5405 is 1 .
LCM of Denominators means LCM of 919,9461 as per the given fractions.
LCM of 919,9461 is 8694659 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 206,5405
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 5405
List of positive integer factors of 5405 that divides 5405 without a remainder.
1,5,23,47,115,235,1081,5405
Greatest Common Factor
We found the factors 206,5405 . The biggest common factor number is the GCF number.
So the greatest common factor 206,5405 is 1.
Lets's calculate LCM of 919,9461
Given numbers has no common factors except 1. So, there LCM is their product i.e 8694659
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8694659
Therefore, the GCF of Fractions 206/919,5405/9461 is 1/8694659
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 919,9461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,9461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,9461) x common factors =1 x 1 = 1
LCM(919,9461) = ( 919 × 9461 ) / 1
LCM(919,9461) = 8694659 / 1
LCM(919,9461) = 8694659
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 206/919, 5405/9461?
Answer: GCF of Numerators as per given numbers 206/919, 5405/9461 is
GCF of Numerators i.e. for 206,5405 is 1
LCM of denominators i.e. for 919,9461 is 8694659.
Thus, GCF of Fractions is 1/8694659.Finally, GCF of Fractions for 206/919, 5405/9461 is 1/8694659.