Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2037/217,5135/9641
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 2037,5135
Greatest Common Factor of Numerators i.e. GCF of 2037,5135 is 1 .
LCM of Denominators means LCM of 217,9641 as per the given fractions.
LCM of 217,9641 is 67487 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2037,5135
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2037
List of positive integer factors of 2037 that divides 2037 without a remainder.
1,3,7,21,97,291,679,2037
Factors of 5135
List of positive integer factors of 5135 that divides 5135 without a remainder.
1,5,13,65,79,395,1027,5135
Greatest Common Factor
We found the factors 2037,5135 . The biggest common factor number is the GCF number.
So the greatest common factor 2037,5135 is 1.
Lets's calculate LCM of 217,9641
31 | 217, 9641 |
7, 311 |
∴ So the LCM of the given numbers is 31 x 7 x 311 = 67487
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67487
Therefore, the GCF of Fractions 2037/217,5135/9641 is 1/67487
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 217,9641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,9641) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(217,9641) x common factors =31 x 1 = 31
LCM(217,9641) = ( 217 × 9641 ) / 31
LCM(217,9641) = 2092097 / 31
LCM(217,9641) = 67487
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 2037/217, 5135/9641?
Answer: GCF of Numerators as per given numbers 2037/217, 5135/9641 is
GCF of Numerators i.e. for 2037,5135 is 1
LCM of denominators i.e. for 217,9641 is 67487.
Thus, GCF of Fractions is 1/67487.Finally, GCF of Fractions for 2037/217, 5135/9641 is 1/67487.