Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2007/13,8799/727
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 2007,8799
Greatest Common Factor of Numerators i.e. GCF of 2007,8799 is 3 .
LCM of Denominators means LCM of 13,727 as per the given fractions.
LCM of 13,727 is 9451 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2007,8799
3 | 2007, 8799 |
669, 2933 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2007
List of positive integer factors of 2007 that divides 2007 without a remainder.
1,3,9,223,669,2007
Factors of 8799
List of positive integer factors of 8799 that divides 8799 without a remainder.
1,3,7,21,419,1257,2933,8799
Greatest Common Factor
We found the factors 2007,8799 . The biggest common factor number is the GCF number.
So the greatest common factor 2007,8799 is 3.
Lets's calculate LCM of 13,727
Given numbers has no common factors except 1. So, there LCM is their product i.e 9451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9451
Therefore, the GCF of Fractions 2007/13,8799/727 is 3/9451
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 13,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,727) x common factors =1 x 1 = 1
LCM(13,727) = ( 13 × 727 ) / 1
LCM(13,727) = 9451 / 1
LCM(13,727) = 9451
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 2007/13, 8799/727?
Answer: GCF of Numerators as per given numbers 2007/13, 8799/727 is
GCF of Numerators i.e. for 2007,8799 is 3
LCM of denominators i.e. for 13,727 is 9451.
Thus, GCF of Fractions is 3/9451.Finally, GCF of Fractions for 2007/13, 8799/727 is 3/9451.