Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4275/27,7265/286
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 4275,7265
Greatest Common Factor of Numerators i.e. GCF of 4275,7265 is 5 .
LCM of Denominators means LCM of 27,286 as per the given fractions.
LCM of 27,286 is 7722 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4275,7265
5 | 4275, 7265 |
855, 1453 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 4275
List of positive integer factors of 4275 that divides 4275 without a remainder.
1,3,5,9,15,19,25,45,57,75,95,171,225,285,475,855,1425,4275
Factors of 7265
List of positive integer factors of 7265 that divides 7265 without a remainder.
1,5,1453,7265
Greatest Common Factor
We found the factors 4275,7265 . The biggest common factor number is the GCF number.
So the greatest common factor 4275,7265 is 5.
Lets's calculate LCM of 27,286
Given numbers has no common factors except 1. So, there LCM is their product i.e 7722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7722
Therefore, the GCF of Fractions 4275/27,7265/286 is 5/7722
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 27,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,286) x common factors =1 x 1 = 1
LCM(27,286) = ( 27 × 286 ) / 1
LCM(27,286) = 7722 / 1
LCM(27,286) = 7722
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 4275/27, 7265/286?
Answer: GCF of Numerators as per given numbers 4275/27, 7265/286 is
GCF of Numerators i.e. for 4275,7265 is 5
LCM of denominators i.e. for 27,286 is 7722.
Thus, GCF of Fractions is 5/7722.Finally, GCF of Fractions for 4275/27, 7265/286 is 5/7722.