Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 411/899,861/649
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 411,861
Greatest Common Factor of Numerators i.e. GCF of 411,861 is 3 .
LCM of Denominators means LCM of 899,649 as per the given fractions.
LCM of 899,649 is 583451 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 411,861
3 | 411, 861 |
137, 287 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Greatest Common Factor
We found the factors 411,861 . The biggest common factor number is the GCF number.
So the greatest common factor 411,861 is 3.
Lets's calculate LCM of 899,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 583451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/583451
Therefore, the GCF of Fractions 411/899,861/649 is 3/583451
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 899,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,649) x common factors =1 x 1 = 1
LCM(899,649) = ( 899 × 649 ) / 1
LCM(899,649) = 583451 / 1
LCM(899,649) = 583451
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 411/899, 861/649?
Answer: GCF of Numerators as per given numbers 411/899, 861/649 is
GCF of Numerators i.e. for 411,861 is 3
LCM of denominators i.e. for 899,649 is 583451.
Thus, GCF of Fractions is 3/583451.Finally, GCF of Fractions for 411/899, 861/649 is 3/583451.