Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5875/215,7226/9689
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 5875,7226
Greatest Common Factor of Numerators i.e. GCF of 5875,7226 is 1 .
LCM of Denominators means LCM of 215,9689 as per the given fractions.
LCM of 215,9689 is 2083135 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5875,7226
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5875
List of positive integer factors of 5875 that divides 5875 without a remainder.
1,5,25,47,125,235,1175,5875
Factors of 7226
List of positive integer factors of 7226 that divides 7226 without a remainder.
1,2,3613,7226
Greatest Common Factor
We found the factors 5875,7226 . The biggest common factor number is the GCF number.
So the greatest common factor 5875,7226 is 1.
Lets's calculate LCM of 215,9689
Given numbers has no common factors except 1. So, there LCM is their product i.e 2083135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2083135
Therefore, the GCF of Fractions 5875/215,7226/9689 is 1/2083135
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 215,9689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,9689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,9689) x common factors =1 x 1 = 1
LCM(215,9689) = ( 215 × 9689 ) / 1
LCM(215,9689) = 2083135 / 1
LCM(215,9689) = 2083135
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 5875/215, 7226/9689?
Answer: GCF of Numerators as per given numbers 5875/215, 7226/9689 is
GCF of Numerators i.e. for 5875,7226 is 1
LCM of denominators i.e. for 215,9689 is 2083135.
Thus, GCF of Fractions is 1/2083135.Finally, GCF of Fractions for 5875/215, 7226/9689 is 1/2083135.