Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/65,399/33,300/44
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 110,399,300
Greatest Common Factor of Numerators i.e. GCF of 110,399,300 is 1 .
LCM of Denominators means LCM of 65,33,44 as per the given fractions.
LCM of 65,33,44 is 8580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,399,300
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 110,399,300 . The biggest common factor number is the GCF number.
So the greatest common factor 110,399,300 is 1.
Lets's calculate LCM of 65,33,44
11 | 65, 33, 44 |
65, 3, 4 |
∴ So the LCM of the given numbers is 11 x 65 x 3 x 4 = 8580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8580
Therefore, the GCF of Fractions 110/65,399/33,300/44 is 1/8580
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 65,33,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,33,44) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(65,33,44) x common factors =1 x 11 = 11
LCM(65,33,44) = ( 65 × 33 × 44 ) / 11
LCM(65,33,44) = 94380 / 11
LCM(65,33,44) = 8580
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 110/65, 399/33, 300/44?
Answer: GCF of Numerators as per given numbers 110/65, 399/33, 300/44 is
GCF of Numerators i.e. for 110,399,300 is 1
LCM of denominators i.e. for 65,33,44 is 8580.
Thus, GCF of Fractions is 1/8580.Finally, GCF of Fractions for 110/65, 399/33, 300/44 is 1/8580.