Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9018/514,4385/6517
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 9018,4385
Greatest Common Factor of Numerators i.e. GCF of 9018,4385 is 1 .
LCM of Denominators means LCM of 514,6517 as per the given fractions.
LCM of 514,6517 is 3349738 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9018,4385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9018
List of positive integer factors of 9018 that divides 9018 without a remainder.
1,2,3,6,9,18,27,54,167,334,501,1002,1503,3006,4509,9018
Factors of 4385
List of positive integer factors of 4385 that divides 4385 without a remainder.
1,5,877,4385
Greatest Common Factor
We found the factors 9018,4385 . The biggest common factor number is the GCF number.
So the greatest common factor 9018,4385 is 1.
Lets's calculate LCM of 514,6517
Given numbers has no common factors except 1. So, there LCM is their product i.e 3349738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3349738
Therefore, the GCF of Fractions 9018/514,4385/6517 is 1/3349738
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 514,6517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,6517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,6517) x common factors =1 x 1 = 1
LCM(514,6517) = ( 514 × 6517 ) / 1
LCM(514,6517) = 3349738 / 1
LCM(514,6517) = 3349738
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 9018/514, 4385/6517?
Answer: GCF of Numerators as per given numbers 9018/514, 4385/6517 is
GCF of Numerators i.e. for 9018,4385 is 1
LCM of denominators i.e. for 514,6517 is 3349738.
Thus, GCF of Fractions is 1/3349738.Finally, GCF of Fractions for 9018/514, 4385/6517 is 1/3349738.