Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4843/73,3344/289
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 4843,3344
Greatest Common Factor of Numerators i.e. GCF of 4843,3344 is 1 .
LCM of Denominators means LCM of 73,289 as per the given fractions.
LCM of 73,289 is 21097 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4843,3344
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4843
List of positive integer factors of 4843 that divides 4843 without a remainder.
1,29,167,4843
Factors of 3344
List of positive integer factors of 3344 that divides 3344 without a remainder.
1,2,4,8,11,16,19,22,38,44,76,88,152,176,209,304,418,836,1672,3344
Greatest Common Factor
We found the factors 4843,3344 . The biggest common factor number is the GCF number.
So the greatest common factor 4843,3344 is 1.
Lets's calculate LCM of 73,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 21097
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21097
Therefore, the GCF of Fractions 4843/73,3344/289 is 1/21097
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 73,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,289) x common factors =1 x 1 = 1
LCM(73,289) = ( 73 × 289 ) / 1
LCM(73,289) = 21097 / 1
LCM(73,289) = 21097
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 4843/73, 3344/289?
Answer: GCF of Numerators as per given numbers 4843/73, 3344/289 is
GCF of Numerators i.e. for 4843,3344 is 1
LCM of denominators i.e. for 73,289 is 21097.
Thus, GCF of Fractions is 1/21097.Finally, GCF of Fractions for 4843/73, 3344/289 is 1/21097.