Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 279/809,5433/895
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 279,5433
Greatest Common Factor of Numerators i.e. GCF of 279,5433 is 3 .
LCM of Denominators means LCM of 809,895 as per the given fractions.
LCM of 809,895 is 724055 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 279,5433
3 | 279, 5433 |
93, 1811 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 5433
List of positive integer factors of 5433 that divides 5433 without a remainder.
1,3,1811,5433
Greatest Common Factor
We found the factors 279,5433 . The biggest common factor number is the GCF number.
So the greatest common factor 279,5433 is 3.
Lets's calculate LCM of 809,895
Given numbers has no common factors except 1. So, there LCM is their product i.e 724055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/724055
Therefore, the GCF of Fractions 279/809,5433/895 is 3/724055
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 809,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,895) x common factors =1 x 1 = 1
LCM(809,895) = ( 809 × 895 ) / 1
LCM(809,895) = 724055 / 1
LCM(809,895) = 724055
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 279/809, 5433/895?
Answer: GCF of Numerators as per given numbers 279/809, 5433/895 is
GCF of Numerators i.e. for 279,5433 is 3
LCM of denominators i.e. for 809,895 is 724055.
Thus, GCF of Fractions is 3/724055.Finally, GCF of Fractions for 279/809, 5433/895 is 3/724055.