Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4909/25,2268/485
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 4909,2268
Greatest Common Factor of Numerators i.e. GCF of 4909,2268 is 1 .
LCM of Denominators means LCM of 25,485 as per the given fractions.
LCM of 25,485 is 2425 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4909,2268
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4909
List of positive integer factors of 4909 that divides 4909 without a remainder.
1,4909
Factors of 2268
List of positive integer factors of 2268 that divides 2268 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,252,324,378,567,756,1134,2268
Greatest Common Factor
We found the factors 4909,2268 . The biggest common factor number is the GCF number.
So the greatest common factor 4909,2268 is 1.
Lets's calculate LCM of 25,485
5 | 25, 485 |
5, 97 |
∴ So the LCM of the given numbers is 5 x 5 x 97 = 2425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2425
Therefore, the GCF of Fractions 4909/25,2268/485 is 1/2425
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 25,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,485) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(25,485) x common factors =5 x 1 = 5
LCM(25,485) = ( 25 × 485 ) / 5
LCM(25,485) = 12125 / 5
LCM(25,485) = 2425
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 4909/25, 2268/485?
Answer: GCF of Numerators as per given numbers 4909/25, 2268/485 is
GCF of Numerators i.e. for 4909,2268 is 1
LCM of denominators i.e. for 25,485 is 2425.
Thus, GCF of Fractions is 1/2425.Finally, GCF of Fractions for 4909/25, 2268/485 is 1/2425.