Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/214,96/649
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 37,96
Greatest Common Factor of Numerators i.e. GCF of 37,96 is 1 .
LCM of Denominators means LCM of 214,649 as per the given fractions.
LCM of 214,649 is 138886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 37,96
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Greatest Common Factor
We found the factors 37,96 . The biggest common factor number is the GCF number.
So the greatest common factor 37,96 is 1.
Lets's calculate LCM of 214,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 138886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138886
Therefore, the GCF of Fractions 37/214,96/649 is 1/138886
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 214,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,649) x common factors =1 x 1 = 1
LCM(214,649) = ( 214 × 649 ) / 1
LCM(214,649) = 138886 / 1
LCM(214,649) = 138886
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 37/214, 96/649?
Answer: GCF of Numerators as per given numbers 37/214, 96/649 is
GCF of Numerators i.e. for 37,96 is 1
LCM of denominators i.e. for 214,649 is 138886.
Thus, GCF of Fractions is 1/138886.Finally, GCF of Fractions for 37/214, 96/649 is 1/138886.