Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9479/209,1548/3133
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 9479,1548
Greatest Common Factor of Numerators i.e. GCF of 9479,1548 is 1 .
LCM of Denominators means LCM of 209,3133 as per the given fractions.
LCM of 209,3133 is 654797 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9479,1548
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9479
List of positive integer factors of 9479 that divides 9479 without a remainder.
1,9479
Factors of 1548
List of positive integer factors of 1548 that divides 1548 without a remainder.
1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548
Greatest Common Factor
We found the factors 9479,1548 . The biggest common factor number is the GCF number.
So the greatest common factor 9479,1548 is 1.
Lets's calculate LCM of 209,3133
Given numbers has no common factors except 1. So, there LCM is their product i.e 654797
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654797
Therefore, the GCF of Fractions 9479/209,1548/3133 is 1/654797
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 209,3133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,3133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,3133) x common factors =1 x 1 = 1
LCM(209,3133) = ( 209 × 3133 ) / 1
LCM(209,3133) = 654797 / 1
LCM(209,3133) = 654797
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 9479/209, 1548/3133?
Answer: GCF of Numerators as per given numbers 9479/209, 1548/3133 is
GCF of Numerators i.e. for 9479,1548 is 1
LCM of denominators i.e. for 209,3133 is 654797.
Thus, GCF of Fractions is 1/654797.Finally, GCF of Fractions for 9479/209, 1548/3133 is 1/654797.