Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2899/388,6217/141
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 2899,6217
Greatest Common Factor of Numerators i.e. GCF of 2899,6217 is 1 .
LCM of Denominators means LCM of 388,141 as per the given fractions.
LCM of 388,141 is 54708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2899,6217
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2899
List of positive integer factors of 2899 that divides 2899 without a remainder.
1,13,223,2899
Factors of 6217
List of positive integer factors of 6217 that divides 6217 without a remainder.
1,6217
Greatest Common Factor
We found the factors 2899,6217 . The biggest common factor number is the GCF number.
So the greatest common factor 2899,6217 is 1.
Lets's calculate LCM of 388,141
Given numbers has no common factors except 1. So, there LCM is their product i.e 54708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54708
Therefore, the GCF of Fractions 2899/388,6217/141 is 1/54708
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 388,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(388,141) x common factors =1 x 1 = 1
LCM(388,141) = ( 388 × 141 ) / 1
LCM(388,141) = 54708 / 1
LCM(388,141) = 54708
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 2899/388, 6217/141?
Answer: GCF of Numerators as per given numbers 2899/388, 6217/141 is
GCF of Numerators i.e. for 2899,6217 is 1
LCM of denominators i.e. for 388,141 is 54708.
Thus, GCF of Fractions is 1/54708.Finally, GCF of Fractions for 2899/388, 6217/141 is 1/54708.