Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4038/34,3300/719
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 4038,3300
Greatest Common Factor of Numerators i.e. GCF of 4038,3300 is 6 .
LCM of Denominators means LCM of 34,719 as per the given fractions.
LCM of 34,719 is 24446 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4038,3300
2 | 4038, 3300 |
3 | 2019, 1650 |
673, 550 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 4038
List of positive integer factors of 4038 that divides 4038 without a remainder.
1,2,3,6,673,1346,2019,4038
Factors of 3300
List of positive integer factors of 3300 that divides 3300 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300
Greatest Common Factor
We found the factors 4038,3300 . The biggest common factor number is the GCF number.
So the greatest common factor 4038,3300 is 6.
Lets's calculate LCM of 34,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 24446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/24446
Therefore, the GCF of Fractions 4038/34,3300/719 is 6/24446
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 34,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,719) x common factors =1 x 1 = 1
LCM(34,719) = ( 34 × 719 ) / 1
LCM(34,719) = 24446 / 1
LCM(34,719) = 24446
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 4038/34, 3300/719?
Answer: GCF of Numerators as per given numbers 4038/34, 3300/719 is
GCF of Numerators i.e. for 4038,3300 is 6
LCM of denominators i.e. for 34,719 is 24446.
Thus, GCF of Fractions is 6/24446.Finally, GCF of Fractions for 4038/34, 3300/719 is 6/24446.