Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3889/337,8717/918
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 3889,8717
Greatest Common Factor of Numerators i.e. GCF of 3889,8717 is 1 .
LCM of Denominators means LCM of 337,918 as per the given fractions.
LCM of 337,918 is 309366 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3889,8717
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3889
List of positive integer factors of 3889 that divides 3889 without a remainder.
1,3889
Factors of 8717
List of positive integer factors of 8717 that divides 8717 without a remainder.
1,23,379,8717
Greatest Common Factor
We found the factors 3889,8717 . The biggest common factor number is the GCF number.
So the greatest common factor 3889,8717 is 1.
Lets's calculate LCM of 337,918
Given numbers has no common factors except 1. So, there LCM is their product i.e 309366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309366
Therefore, the GCF of Fractions 3889/337,8717/918 is 1/309366
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 337,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,918) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,918) x common factors =1 x 1 = 1
LCM(337,918) = ( 337 × 918 ) / 1
LCM(337,918) = 309366 / 1
LCM(337,918) = 309366
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 3889/337, 8717/918?
Answer: GCF of Numerators as per given numbers 3889/337, 8717/918 is
GCF of Numerators i.e. for 3889,8717 is 1
LCM of denominators i.e. for 337,918 is 309366.
Thus, GCF of Fractions is 1/309366.Finally, GCF of Fractions for 3889/337, 8717/918 is 1/309366.