Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 831/849,246/659
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 831,246
Greatest Common Factor of Numerators i.e. GCF of 831,246 is 3 .
LCM of Denominators means LCM of 849,659 as per the given fractions.
LCM of 849,659 is 559491 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 831,246
3 | 831, 246 |
277, 82 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 831,246 . The biggest common factor number is the GCF number.
So the greatest common factor 831,246 is 3.
Lets's calculate LCM of 849,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 559491
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/559491
Therefore, the GCF of Fractions 831/849,246/659 is 3/559491
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 849,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,659) x common factors =1 x 1 = 1
LCM(849,659) = ( 849 × 659 ) / 1
LCM(849,659) = 559491 / 1
LCM(849,659) = 559491
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 831/849, 246/659?
Answer: GCF of Numerators as per given numbers 831/849, 246/659 is
GCF of Numerators i.e. for 831,246 is 3
LCM of denominators i.e. for 849,659 is 559491.
Thus, GCF of Fractions is 3/559491.Finally, GCF of Fractions for 831/849, 246/659 is 3/559491.