Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 150/65,463/3931
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 150,463
Greatest Common Factor of Numerators i.e. GCF of 150,463 is 1 .
LCM of Denominators means LCM of 65,3931 as per the given fractions.
LCM of 65,3931 is 255515 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 150,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 150,463 . The biggest common factor number is the GCF number.
So the greatest common factor 150,463 is 1.
Lets's calculate LCM of 65,3931
Given numbers has no common factors except 1. So, there LCM is their product i.e 255515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255515
Therefore, the GCF of Fractions 150/65,463/3931 is 1/255515
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 65,3931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,3931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,3931) x common factors =1 x 1 = 1
LCM(65,3931) = ( 65 × 3931 ) / 1
LCM(65,3931) = 255515 / 1
LCM(65,3931) = 255515
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 150/65, 463/3931?
Answer: GCF of Numerators as per given numbers 150/65, 463/3931 is
GCF of Numerators i.e. for 150,463 is 1
LCM of denominators i.e. for 65,3931 is 255515.
Thus, GCF of Fractions is 1/255515.Finally, GCF of Fractions for 150/65, 463/3931 is 1/255515.