Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5765/47,4122/847
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 5765,4122
Greatest Common Factor of Numerators i.e. GCF of 5765,4122 is 1 .
LCM of Denominators means LCM of 47,847 as per the given fractions.
LCM of 47,847 is 39809 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5765,4122
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5765
List of positive integer factors of 5765 that divides 5765 without a remainder.
1,5,1153,5765
Factors of 4122
List of positive integer factors of 4122 that divides 4122 without a remainder.
1,2,3,6,9,18,229,458,687,1374,2061,4122
Greatest Common Factor
We found the factors 5765,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 5765,4122 is 1.
Lets's calculate LCM of 47,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 39809
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39809
Therefore, the GCF of Fractions 5765/47,4122/847 is 1/39809
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 47,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,847) x common factors =1 x 1 = 1
LCM(47,847) = ( 47 × 847 ) / 1
LCM(47,847) = 39809 / 1
LCM(47,847) = 39809
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 5765/47, 4122/847?
Answer: GCF of Numerators as per given numbers 5765/47, 4122/847 is
GCF of Numerators i.e. for 5765,4122 is 1
LCM of denominators i.e. for 47,847 is 39809.
Thus, GCF of Fractions is 1/39809.Finally, GCF of Fractions for 5765/47, 4122/847 is 1/39809.