Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3307/740,2718/919
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 3307,2718
Greatest Common Factor of Numerators i.e. GCF of 3307,2718 is 1 .
LCM of Denominators means LCM of 740,919 as per the given fractions.
LCM of 740,919 is 680060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3307,2718
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3307
List of positive integer factors of 3307 that divides 3307 without a remainder.
1,3307
Factors of 2718
List of positive integer factors of 2718 that divides 2718 without a remainder.
1,2,3,6,9,18,151,302,453,906,1359,2718
Greatest Common Factor
We found the factors 3307,2718 . The biggest common factor number is the GCF number.
So the greatest common factor 3307,2718 is 1.
Lets's calculate LCM of 740,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 680060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/680060
Therefore, the GCF of Fractions 3307/740,2718/919 is 1/680060
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 740,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,919) x common factors =1 x 1 = 1
LCM(740,919) = ( 740 × 919 ) / 1
LCM(740,919) = 680060 / 1
LCM(740,919) = 680060
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 3307/740, 2718/919?
Answer: GCF of Numerators as per given numbers 3307/740, 2718/919 is
GCF of Numerators i.e. for 3307,2718 is 1
LCM of denominators i.e. for 740,919 is 680060.
Thus, GCF of Fractions is 1/680060.Finally, GCF of Fractions for 3307/740, 2718/919 is 1/680060.