Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 723/33,500/993
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 723,500
Greatest Common Factor of Numerators i.e. GCF of 723,500 is 1 .
LCM of Denominators means LCM of 33,993 as per the given fractions.
LCM of 33,993 is 10923 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 723,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 723,500 . The biggest common factor number is the GCF number.
So the greatest common factor 723,500 is 1.
Lets's calculate LCM of 33,993
3 | 33, 993 |
11, 331 |
∴ So the LCM of the given numbers is 3 x 11 x 331 = 10923
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10923
Therefore, the GCF of Fractions 723/33,500/993 is 1/10923
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 33,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(33,993) x common factors =3 x 1 = 3
LCM(33,993) = ( 33 × 993 ) / 3
LCM(33,993) = 32769 / 3
LCM(33,993) = 10923
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 723/33, 500/993?
Answer: GCF of Numerators as per given numbers 723/33, 500/993 is
GCF of Numerators i.e. for 723,500 is 1
LCM of denominators i.e. for 33,993 is 10923.
Thus, GCF of Fractions is 1/10923.Finally, GCF of Fractions for 723/33, 500/993 is 1/10923.