Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3847/39,9466/422
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 3847,9466
Greatest Common Factor of Numerators i.e. GCF of 3847,9466 is 1 .
LCM of Denominators means LCM of 39,422 as per the given fractions.
LCM of 39,422 is 16458 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3847,9466
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3847
List of positive integer factors of 3847 that divides 3847 without a remainder.
1,3847
Factors of 9466
List of positive integer factors of 9466 that divides 9466 without a remainder.
1,2,4733,9466
Greatest Common Factor
We found the factors 3847,9466 . The biggest common factor number is the GCF number.
So the greatest common factor 3847,9466 is 1.
Lets's calculate LCM of 39,422
Given numbers has no common factors except 1. So, there LCM is their product i.e 16458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16458
Therefore, the GCF of Fractions 3847/39,9466/422 is 1/16458
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 39,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,422) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,422) x common factors =1 x 1 = 1
LCM(39,422) = ( 39 × 422 ) / 1
LCM(39,422) = 16458 / 1
LCM(39,422) = 16458
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 3847/39, 9466/422?
Answer: GCF of Numerators as per given numbers 3847/39, 9466/422 is
GCF of Numerators i.e. for 3847,9466 is 1
LCM of denominators i.e. for 39,422 is 16458.
Thus, GCF of Fractions is 1/16458.Finally, GCF of Fractions for 3847/39, 9466/422 is 1/16458.