Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 208/49,233/614
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 208,233
Greatest Common Factor of Numerators i.e. GCF of 208,233 is 1 .
LCM of Denominators means LCM of 49,614 as per the given fractions.
LCM of 49,614 is 30086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 208,233
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Greatest Common Factor
We found the factors 208,233 . The biggest common factor number is the GCF number.
So the greatest common factor 208,233 is 1.
Lets's calculate LCM of 49,614
Given numbers has no common factors except 1. So, there LCM is their product i.e 30086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30086
Therefore, the GCF of Fractions 208/49,233/614 is 1/30086
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 49,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,614) x common factors =1 x 1 = 1
LCM(49,614) = ( 49 × 614 ) / 1
LCM(49,614) = 30086 / 1
LCM(49,614) = 30086
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 208/49, 233/614?
Answer: GCF of Numerators as per given numbers 208/49, 233/614 is
GCF of Numerators i.e. for 208,233 is 1
LCM of denominators i.e. for 49,614 is 30086.
Thus, GCF of Fractions is 1/30086.Finally, GCF of Fractions for 208/49, 233/614 is 1/30086.