Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/73,33/54,66/89,500/43
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 15,33,66,500
Greatest Common Factor of Numerators i.e. GCF of 15,33,66,500 is 1 .
LCM of Denominators means LCM of 73,54,89,43 as per the given fractions.
LCM of 73,54,89,43 is 15086034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,33,66,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
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 15,33,66,500 . The biggest common factor number is the GCF number.
So the greatest common factor 15,33,66,500 is 1.
Lets's calculate LCM of 73,54,89,43
Given numbers has no common factors except 1. So, there LCM is their product i.e 15086034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15086034
Therefore, the GCF of Fractions 15/73,33/54,66/89,500/43 is 1/15086034
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 73,54,89,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,54,89,43) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,54,89,43) x common factors =1 x 1 = 1
LCM(73,54,89,43) = ( 73 × 54 × 89 × 43 ) / 1
LCM(73,54,89,43) = 15086034 / 1
LCM(73,54,89,43) = 15086034
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 15/73, 33/54, 66/89, 500/43?
Answer: GCF of Numerators as per given numbers 15/73, 33/54, 66/89, 500/43 is
GCF of Numerators i.e. for 15,33,66,500 is 1
LCM of denominators i.e. for 73,54,89,43 is 15086034.
Thus, GCF of Fractions is 1/15086034.Finally, GCF of Fractions for 15/73, 33/54, 66/89, 500/43 is 1/15086034.