Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2411/36,2330/995
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 2411,2330
Greatest Common Factor of Numerators i.e. GCF of 2411,2330 is 1 .
LCM of Denominators means LCM of 36,995 as per the given fractions.
LCM of 36,995 is 35820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2411,2330
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2411
List of positive integer factors of 2411 that divides 2411 without a remainder.
1,2411
Factors of 2330
List of positive integer factors of 2330 that divides 2330 without a remainder.
1,2,5,10,233,466,1165,2330
Greatest Common Factor
We found the factors 2411,2330 . The biggest common factor number is the GCF number.
So the greatest common factor 2411,2330 is 1.
Lets's calculate LCM of 36,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 35820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35820
Therefore, the GCF of Fractions 2411/36,2330/995 is 1/35820
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 36,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,995) x common factors =1 x 1 = 1
LCM(36,995) = ( 36 × 995 ) / 1
LCM(36,995) = 35820 / 1
LCM(36,995) = 35820
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 2411/36, 2330/995?
Answer: GCF of Numerators as per given numbers 2411/36, 2330/995 is
GCF of Numerators i.e. for 2411,2330 is 1
LCM of denominators i.e. for 36,995 is 35820.
Thus, GCF of Fractions is 1/35820.Finally, GCF of Fractions for 2411/36, 2330/995 is 1/35820.