Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2229/40,7405/886
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 2229,7405
Greatest Common Factor of Numerators i.e. GCF of 2229,7405 is 1 .
LCM of Denominators means LCM of 40,886 as per the given fractions.
LCM of 40,886 is 17720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2229,7405
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2229
List of positive integer factors of 2229 that divides 2229 without a remainder.
1,3,743,2229
Factors of 7405
List of positive integer factors of 7405 that divides 7405 without a remainder.
1,5,1481,7405
Greatest Common Factor
We found the factors 2229,7405 . The biggest common factor number is the GCF number.
So the greatest common factor 2229,7405 is 1.
Lets's calculate LCM of 40,886
2 | 40, 886 |
20, 443 |
∴ So the LCM of the given numbers is 2 x 20 x 443 = 17720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17720
Therefore, the GCF of Fractions 2229/40,7405/886 is 1/17720
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 40,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(40,886) x common factors =2 x 1 = 2
LCM(40,886) = ( 40 × 886 ) / 2
LCM(40,886) = 35440 / 2
LCM(40,886) = 17720
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 2229/40, 7405/886?
Answer: GCF of Numerators as per given numbers 2229/40, 7405/886 is
GCF of Numerators i.e. for 2229,7405 is 1
LCM of denominators i.e. for 40,886 is 17720.
Thus, GCF of Fractions is 1/17720.Finally, GCF of Fractions for 2229/40, 7405/886 is 1/17720.