Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3817/589,7046/8843
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 3817,7046
Greatest Common Factor of Numerators i.e. GCF of 3817,7046 is 1 .
LCM of Denominators means LCM of 589,8843 as per the given fractions.
LCM of 589,8843 is 5208527 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3817,7046
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3817
List of positive integer factors of 3817 that divides 3817 without a remainder.
1,11,347,3817
Factors of 7046
List of positive integer factors of 7046 that divides 7046 without a remainder.
1,2,13,26,271,542,3523,7046
Greatest Common Factor
We found the factors 3817,7046 . The biggest common factor number is the GCF number.
So the greatest common factor 3817,7046 is 1.
Lets's calculate LCM of 589,8843
Given numbers has no common factors except 1. So, there LCM is their product i.e 5208527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5208527
Therefore, the GCF of Fractions 3817/589,7046/8843 is 1/5208527
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 589,8843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,8843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,8843) x common factors =1 x 1 = 1
LCM(589,8843) = ( 589 × 8843 ) / 1
LCM(589,8843) = 5208527 / 1
LCM(589,8843) = 5208527
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 3817/589, 7046/8843?
Answer: GCF of Numerators as per given numbers 3817/589, 7046/8843 is
GCF of Numerators i.e. for 3817,7046 is 1
LCM of denominators i.e. for 589,8843 is 5208527.
Thus, GCF of Fractions is 1/5208527.Finally, GCF of Fractions for 3817/589, 7046/8843 is 1/5208527.