Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 296/43,719/217
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 296,719
Greatest Common Factor of Numerators i.e. GCF of 296,719 is 1 .
LCM of Denominators means LCM of 43,217 as per the given fractions.
LCM of 43,217 is 9331 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 296,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Greatest Common Factor
We found the factors 296,719 . The biggest common factor number is the GCF number.
So the greatest common factor 296,719 is 1.
Lets's calculate LCM of 43,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 9331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9331
Therefore, the GCF of Fractions 296/43,719/217 is 1/9331
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 43,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,217) x common factors =1 x 1 = 1
LCM(43,217) = ( 43 × 217 ) / 1
LCM(43,217) = 9331 / 1
LCM(43,217) = 9331
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 296/43, 719/217?
Answer: GCF of Numerators as per given numbers 296/43, 719/217 is
GCF of Numerators i.e. for 296,719 is 1
LCM of denominators i.e. for 43,217 is 9331.
Thus, GCF of Fractions is 1/9331.Finally, GCF of Fractions for 296/43, 719/217 is 1/9331.