Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4096/18,1214/638
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 4096,1214
Greatest Common Factor of Numerators i.e. GCF of 4096,1214 is 2 .
LCM of Denominators means LCM of 18,638 as per the given fractions.
LCM of 18,638 is 5742 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4096,1214
2 | 4096, 1214 |
2048, 607 |
∴ So the GCF of the given numbers is 2 = 2
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 1214
List of positive integer factors of 1214 that divides 1214 without a remainder.
1,2,607,1214
Greatest Common Factor
We found the factors 4096,1214 . The biggest common factor number is the GCF number.
So the greatest common factor 4096,1214 is 2.
Lets's calculate LCM of 18,638
2 | 18, 638 |
9, 319 |
∴ So the LCM of the given numbers is 2 x 9 x 319 = 5742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5742
Therefore, the GCF of Fractions 4096/18,1214/638 is 2/5742
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 18,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(18,638) x common factors =2 x 1 = 2
LCM(18,638) = ( 18 × 638 ) / 2
LCM(18,638) = 11484 / 2
LCM(18,638) = 5742
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 4096/18, 1214/638?
Answer: GCF of Numerators as per given numbers 4096/18, 1214/638 is
GCF of Numerators i.e. for 4096,1214 is 2
LCM of denominators i.e. for 18,638 is 5742.
Thus, GCF of Fractions is 2/5742.Finally, GCF of Fractions for 4096/18, 1214/638 is 2/5742.