Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 209/246,8659/4531
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 209,8659
Greatest Common Factor of Numerators i.e. GCF of 209,8659 is 1 .
LCM of Denominators means LCM of 246,4531 as per the given fractions.
LCM of 246,4531 is 1114626 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 209,8659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 8659
List of positive integer factors of 8659 that divides 8659 without a remainder.
1,7,1237,8659
Greatest Common Factor
We found the factors 209,8659 . The biggest common factor number is the GCF number.
So the greatest common factor 209,8659 is 1.
Lets's calculate LCM of 246,4531
Given numbers has no common factors except 1. So, there LCM is their product i.e 1114626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1114626
Therefore, the GCF of Fractions 209/246,8659/4531 is 1/1114626
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 246,4531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,4531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(246,4531) x common factors =1 x 1 = 1
LCM(246,4531) = ( 246 × 4531 ) / 1
LCM(246,4531) = 1114626 / 1
LCM(246,4531) = 1114626
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 209/246, 8659/4531?
Answer: GCF of Numerators as per given numbers 209/246, 8659/4531 is
GCF of Numerators i.e. for 209,8659 is 1
LCM of denominators i.e. for 246,4531 is 1114626.
Thus, GCF of Fractions is 1/1114626.Finally, GCF of Fractions for 209/246, 8659/4531 is 1/1114626.