Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8890/47,6711/921
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 8890,6711
Greatest Common Factor of Numerators i.e. GCF of 8890,6711 is 1 .
LCM of Denominators means LCM of 47,921 as per the given fractions.
LCM of 47,921 is 43287 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8890,6711
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8890
List of positive integer factors of 8890 that divides 8890 without a remainder.
1,2,5,7,10,14,35,70,127,254,635,889,1270,1778,4445,8890
Factors of 6711
List of positive integer factors of 6711 that divides 6711 without a remainder.
1,3,2237,6711
Greatest Common Factor
We found the factors 8890,6711 . The biggest common factor number is the GCF number.
So the greatest common factor 8890,6711 is 1.
Lets's calculate LCM of 47,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 43287
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43287
Therefore, the GCF of Fractions 8890/47,6711/921 is 1/43287
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 47,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,921) x common factors =1 x 1 = 1
LCM(47,921) = ( 47 × 921 ) / 1
LCM(47,921) = 43287 / 1
LCM(47,921) = 43287
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 8890/47, 6711/921?
Answer: GCF of Numerators as per given numbers 8890/47, 6711/921 is
GCF of Numerators i.e. for 8890,6711 is 1
LCM of denominators i.e. for 47,921 is 43287.
Thus, GCF of Fractions is 1/43287.Finally, GCF of Fractions for 8890/47, 6711/921 is 1/43287.