Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2845/11,4575/818
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 2845,4575
Greatest Common Factor of Numerators i.e. GCF of 2845,4575 is 5 .
LCM of Denominators means LCM of 11,818 as per the given fractions.
LCM of 11,818 is 8998 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2845,4575
5 | 2845, 4575 |
569, 915 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 2845
List of positive integer factors of 2845 that divides 2845 without a remainder.
1,5,569,2845
Factors of 4575
List of positive integer factors of 4575 that divides 4575 without a remainder.
1,3,5,15,25,61,75,183,305,915,1525,4575
Greatest Common Factor
We found the factors 2845,4575 . The biggest common factor number is the GCF number.
So the greatest common factor 2845,4575 is 5.
Lets's calculate LCM of 11,818
Given numbers has no common factors except 1. So, there LCM is their product i.e 8998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8998
Therefore, the GCF of Fractions 2845/11,4575/818 is 5/8998
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 11,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,818) x common factors =1 x 1 = 1
LCM(11,818) = ( 11 × 818 ) / 1
LCM(11,818) = 8998 / 1
LCM(11,818) = 8998
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 2845/11, 4575/818?
Answer: GCF of Numerators as per given numbers 2845/11, 4575/818 is
GCF of Numerators i.e. for 2845,4575 is 5
LCM of denominators i.e. for 11,818 is 8998.
Thus, GCF of Fractions is 5/8998.Finally, GCF of Fractions for 2845/11, 4575/818 is 5/8998.