Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4096/89,3805/657
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 4096,3805
Greatest Common Factor of Numerators i.e. GCF of 4096,3805 is 1 .
LCM of Denominators means LCM of 89,657 as per the given fractions.
LCM of 89,657 is 58473 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4096,3805
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4096
List of positive integer factors of 4096 that divides 4096 without a remainder.
1,2,4,8,16,32,64,128,256,512,1024,2048,4096
Factors of 3805
List of positive integer factors of 3805 that divides 3805 without a remainder.
1,5,761,3805
Greatest Common Factor
We found the factors 4096,3805 . The biggest common factor number is the GCF number.
So the greatest common factor 4096,3805 is 1.
Lets's calculate LCM of 89,657
Given numbers has no common factors except 1. So, there LCM is their product i.e 58473
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58473
Therefore, the GCF of Fractions 4096/89,3805/657 is 1/58473
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 89,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,657) x common factors =1 x 1 = 1
LCM(89,657) = ( 89 × 657 ) / 1
LCM(89,657) = 58473 / 1
LCM(89,657) = 58473
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 4096/89, 3805/657?
Answer: GCF of Numerators as per given numbers 4096/89, 3805/657 is
GCF of Numerators i.e. for 4096,3805 is 1
LCM of denominators i.e. for 89,657 is 58473.
Thus, GCF of Fractions is 1/58473.Finally, GCF of Fractions for 4096/89, 3805/657 is 1/58473.