Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3251/431,1035/9215
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 3251,1035
Greatest Common Factor of Numerators i.e. GCF of 3251,1035 is 1 .
LCM of Denominators means LCM of 431,9215 as per the given fractions.
LCM of 431,9215 is 3971665 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3251,1035
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3251
List of positive integer factors of 3251 that divides 3251 without a remainder.
1,3251
Factors of 1035
List of positive integer factors of 1035 that divides 1035 without a remainder.
1,3,5,9,15,23,45,69,115,207,345,1035
Greatest Common Factor
We found the factors 3251,1035 . The biggest common factor number is the GCF number.
So the greatest common factor 3251,1035 is 1.
Lets's calculate LCM of 431,9215
Given numbers has no common factors except 1. So, there LCM is their product i.e 3971665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3971665
Therefore, the GCF of Fractions 3251/431,1035/9215 is 1/3971665
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 431,9215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,9215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,9215) x common factors =1 x 1 = 1
LCM(431,9215) = ( 431 × 9215 ) / 1
LCM(431,9215) = 3971665 / 1
LCM(431,9215) = 3971665
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 3251/431, 1035/9215?
Answer: GCF of Numerators as per given numbers 3251/431, 1035/9215 is
GCF of Numerators i.e. for 3251,1035 is 1
LCM of denominators i.e. for 431,9215 is 3971665.
Thus, GCF of Fractions is 1/3971665.Finally, GCF of Fractions for 3251/431, 1035/9215 is 1/3971665.