Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 899/715,3863/272
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 899,3863
Greatest Common Factor of Numerators i.e. GCF of 899,3863 is 1 .
LCM of Denominators means LCM of 715,272 as per the given fractions.
LCM of 715,272 is 194480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 899,3863
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 3863
List of positive integer factors of 3863 that divides 3863 without a remainder.
1,3863
Greatest Common Factor
We found the factors 899,3863 . The biggest common factor number is the GCF number.
So the greatest common factor 899,3863 is 1.
Lets's calculate LCM of 715,272
Given numbers has no common factors except 1. So, there LCM is their product i.e 194480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194480
Therefore, the GCF of Fractions 899/715,3863/272 is 1/194480
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 715,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,272) x common factors =1 x 1 = 1
LCM(715,272) = ( 715 × 272 ) / 1
LCM(715,272) = 194480 / 1
LCM(715,272) = 194480
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 899/715, 3863/272?
Answer: GCF of Numerators as per given numbers 899/715, 3863/272 is
GCF of Numerators i.e. for 899,3863 is 1
LCM of denominators i.e. for 715,272 is 194480.
Thus, GCF of Fractions is 1/194480.Finally, GCF of Fractions for 899/715, 3863/272 is 1/194480.