Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1893/787,3044/4907
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 1893,3044
Greatest Common Factor of Numerators i.e. GCF of 1893,3044 is 1 .
LCM of Denominators means LCM of 787,4907 as per the given fractions.
LCM of 787,4907 is 3861809 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1893,3044
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1893
List of positive integer factors of 1893 that divides 1893 without a remainder.
1,3,631,1893
Factors of 3044
List of positive integer factors of 3044 that divides 3044 without a remainder.
1,2,4,761,1522,3044
Greatest Common Factor
We found the factors 1893,3044 . The biggest common factor number is the GCF number.
So the greatest common factor 1893,3044 is 1.
Lets's calculate LCM of 787,4907
Given numbers has no common factors except 1. So, there LCM is their product i.e 3861809
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3861809
Therefore, the GCF of Fractions 1893/787,3044/4907 is 1/3861809
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 787,4907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,4907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,4907) x common factors =1 x 1 = 1
LCM(787,4907) = ( 787 × 4907 ) / 1
LCM(787,4907) = 3861809 / 1
LCM(787,4907) = 3861809
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 1893/787, 3044/4907?
Answer: GCF of Numerators as per given numbers 1893/787, 3044/4907 is
GCF of Numerators i.e. for 1893,3044 is 1
LCM of denominators i.e. for 787,4907 is 3861809.
Thus, GCF of Fractions is 1/3861809.Finally, GCF of Fractions for 1893/787, 3044/4907 is 1/3861809.