Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/73,50/53,333/984
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 64,50,333
Greatest Common Factor of Numerators i.e. GCF of 64,50,333 is 1 .
LCM of Denominators means LCM of 73,53,984 as per the given fractions.
LCM of 73,53,984 is 3807096 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,50,333
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Greatest Common Factor
We found the factors 64,50,333 . The biggest common factor number is the GCF number.
So the greatest common factor 64,50,333 is 1.
Lets's calculate LCM of 73,53,984
Given numbers has no common factors except 1. So, there LCM is their product i.e 3807096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3807096
Therefore, the GCF of Fractions 64/73,50/53,333/984 is 1/3807096
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 73,53,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,53,984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,53,984) x common factors =1 x 1 = 1
LCM(73,53,984) = ( 73 × 53 × 984 ) / 1
LCM(73,53,984) = 3807096 / 1
LCM(73,53,984) = 3807096
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 64/73, 50/53, 333/984?
Answer: GCF of Numerators as per given numbers 64/73, 50/53, 333/984 is
GCF of Numerators i.e. for 64,50,333 is 1
LCM of denominators i.e. for 73,53,984 is 3807096.
Thus, GCF of Fractions is 1/3807096.Finally, GCF of Fractions for 64/73, 50/53, 333/984 is 1/3807096.