Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8035/260,6055/1024
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 8035,6055
Greatest Common Factor of Numerators i.e. GCF of 8035,6055 is 5 .
LCM of Denominators means LCM of 260,1024 as per the given fractions.
LCM of 260,1024 is 66560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8035,6055
5 | 8035, 6055 |
1607, 1211 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 8035
List of positive integer factors of 8035 that divides 8035 without a remainder.
1,5,1607,8035
Factors of 6055
List of positive integer factors of 6055 that divides 6055 without a remainder.
1,5,7,35,173,865,1211,6055
Greatest Common Factor
We found the factors 8035,6055 . The biggest common factor number is the GCF number.
So the greatest common factor 8035,6055 is 5.
Lets's calculate LCM of 260,1024
2 | 260, 1024 |
2 | 130, 512 |
65, 256 |
∴ So the LCM of the given numbers is 2 x 2 x 65 x 256 = 66560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/66560
Therefore, the GCF of Fractions 8035/260,6055/1024 is 5/66560
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 260,1024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,1024) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(260,1024) x common factors =4 x 1 = 4
LCM(260,1024) = ( 260 × 1024 ) / 4
LCM(260,1024) = 266240 / 4
LCM(260,1024) = 66560
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 8035/260, 6055/1024?
Answer: GCF of Numerators as per given numbers 8035/260, 6055/1024 is
GCF of Numerators i.e. for 8035,6055 is 5
LCM of denominators i.e. for 260,1024 is 66560.
Thus, GCF of Fractions is 5/66560.Finally, GCF of Fractions for 8035/260, 6055/1024 is 5/66560.