Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7231/471,2851/4754
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 7231,2851
Greatest Common Factor of Numerators i.e. GCF of 7231,2851 is 1 .
LCM of Denominators means LCM of 471,4754 as per the given fractions.
LCM of 471,4754 is 2239134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7231,2851
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7231
List of positive integer factors of 7231 that divides 7231 without a remainder.
1,7,1033,7231
Factors of 2851
List of positive integer factors of 2851 that divides 2851 without a remainder.
1,2851
Greatest Common Factor
We found the factors 7231,2851 . The biggest common factor number is the GCF number.
So the greatest common factor 7231,2851 is 1.
Lets's calculate LCM of 471,4754
Given numbers has no common factors except 1. So, there LCM is their product i.e 2239134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2239134
Therefore, the GCF of Fractions 7231/471,2851/4754 is 1/2239134
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 471,4754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,4754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,4754) x common factors =1 x 1 = 1
LCM(471,4754) = ( 471 × 4754 ) / 1
LCM(471,4754) = 2239134 / 1
LCM(471,4754) = 2239134
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 7231/471, 2851/4754?
Answer: GCF of Numerators as per given numbers 7231/471, 2851/4754 is
GCF of Numerators i.e. for 7231,2851 is 1
LCM of denominators i.e. for 471,4754 is 2239134.
Thus, GCF of Fractions is 1/2239134.Finally, GCF of Fractions for 7231/471, 2851/4754 is 1/2239134.