Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 333/556,6888/2587
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 333,6888
Greatest Common Factor of Numerators i.e. GCF of 333,6888 is 3 .
LCM of Denominators means LCM of 556,2587 as per the given fractions.
LCM of 556,2587 is 1438372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 333,6888
3 | 333, 6888 |
111, 2296 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 6888
List of positive integer factors of 6888 that divides 6888 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,41,42,56,82,84,123,164,168,246,287,328,492,574,861,984,1148,1722,2296,3444,6888
Greatest Common Factor
We found the factors 333,6888 . The biggest common factor number is the GCF number.
So the greatest common factor 333,6888 is 3.
Lets's calculate LCM of 556,2587
Given numbers has no common factors except 1. So, there LCM is their product i.e 1438372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1438372
Therefore, the GCF of Fractions 333/556,6888/2587 is 3/1438372
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 556,2587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,2587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,2587) x common factors =1 x 1 = 1
LCM(556,2587) = ( 556 × 2587 ) / 1
LCM(556,2587) = 1438372 / 1
LCM(556,2587) = 1438372
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 333/556, 6888/2587?
Answer: GCF of Numerators as per given numbers 333/556, 6888/2587 is
GCF of Numerators i.e. for 333,6888 is 3
LCM of denominators i.e. for 556,2587 is 1438372.
Thus, GCF of Fractions is 3/1438372.Finally, GCF of Fractions for 333/556, 6888/2587 is 3/1438372.