Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8593/65,6468/783
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 8593,6468
Greatest Common Factor of Numerators i.e. GCF of 8593,6468 is 1 .
LCM of Denominators means LCM of 65,783 as per the given fractions.
LCM of 65,783 is 50895 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8593,6468
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8593
List of positive integer factors of 8593 that divides 8593 without a remainder.
1,13,661,8593
Factors of 6468
List of positive integer factors of 6468 that divides 6468 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468
Greatest Common Factor
We found the factors 8593,6468 . The biggest common factor number is the GCF number.
So the greatest common factor 8593,6468 is 1.
Lets's calculate LCM of 65,783
Given numbers has no common factors except 1. So, there LCM is their product i.e 50895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50895
Therefore, the GCF of Fractions 8593/65,6468/783 is 1/50895
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 65,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,783) x common factors =1 x 1 = 1
LCM(65,783) = ( 65 × 783 ) / 1
LCM(65,783) = 50895 / 1
LCM(65,783) = 50895
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 8593/65, 6468/783?
Answer: GCF of Numerators as per given numbers 8593/65, 6468/783 is
GCF of Numerators i.e. for 8593,6468 is 1
LCM of denominators i.e. for 65,783 is 50895.
Thus, GCF of Fractions is 1/50895.Finally, GCF of Fractions for 8593/65, 6468/783 is 1/50895.