Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9414/270,9827/7439
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 9414,9827
Greatest Common Factor of Numerators i.e. GCF of 9414,9827 is 1 .
LCM of Denominators means LCM of 270,7439 as per the given fractions.
LCM of 270,7439 is 2008530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9414,9827
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9414
List of positive integer factors of 9414 that divides 9414 without a remainder.
1,2,3,6,9,18,523,1046,1569,3138,4707,9414
Factors of 9827
List of positive integer factors of 9827 that divides 9827 without a remainder.
1,31,317,9827
Greatest Common Factor
We found the factors 9414,9827 . The biggest common factor number is the GCF number.
So the greatest common factor 9414,9827 is 1.
Lets's calculate LCM of 270,7439
Given numbers has no common factors except 1. So, there LCM is their product i.e 2008530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2008530
Therefore, the GCF of Fractions 9414/270,9827/7439 is 1/2008530
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 270,7439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,7439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(270,7439) x common factors =1 x 1 = 1
LCM(270,7439) = ( 270 × 7439 ) / 1
LCM(270,7439) = 2008530 / 1
LCM(270,7439) = 2008530
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 9414/270, 9827/7439?
Answer: GCF of Numerators as per given numbers 9414/270, 9827/7439 is
GCF of Numerators i.e. for 9414,9827 is 1
LCM of denominators i.e. for 270,7439 is 2008530.
Thus, GCF of Fractions is 1/2008530.Finally, GCF of Fractions for 9414/270, 9827/7439 is 1/2008530.