Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4846/709,1671/3223
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 4846,1671
Greatest Common Factor of Numerators i.e. GCF of 4846,1671 is 1 .
LCM of Denominators means LCM of 709,3223 as per the given fractions.
LCM of 709,3223 is 2285107 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4846,1671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4846
List of positive integer factors of 4846 that divides 4846 without a remainder.
1,2,2423,4846
Factors of 1671
List of positive integer factors of 1671 that divides 1671 without a remainder.
1,3,557,1671
Greatest Common Factor
We found the factors 4846,1671 . The biggest common factor number is the GCF number.
So the greatest common factor 4846,1671 is 1.
Lets's calculate LCM of 709,3223
Given numbers has no common factors except 1. So, there LCM is their product i.e 2285107
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2285107
Therefore, the GCF of Fractions 4846/709,1671/3223 is 1/2285107
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 709,3223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,3223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,3223) x common factors =1 x 1 = 1
LCM(709,3223) = ( 709 × 3223 ) / 1
LCM(709,3223) = 2285107 / 1
LCM(709,3223) = 2285107
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 4846/709, 1671/3223?
Answer: GCF of Numerators as per given numbers 4846/709, 1671/3223 is
GCF of Numerators i.e. for 4846,1671 is 1
LCM of denominators i.e. for 709,3223 is 2285107.
Thus, GCF of Fractions is 1/2285107.Finally, GCF of Fractions for 4846/709, 1671/3223 is 1/2285107.