Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2309/565,4855/2709
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 2309,4855
Greatest Common Factor of Numerators i.e. GCF of 2309,4855 is 1 .
LCM of Denominators means LCM of 565,2709 as per the given fractions.
LCM of 565,2709 is 1530585 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2309,4855
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2309
List of positive integer factors of 2309 that divides 2309 without a remainder.
1,2309
Factors of 4855
List of positive integer factors of 4855 that divides 4855 without a remainder.
1,5,971,4855
Greatest Common Factor
We found the factors 2309,4855 . The biggest common factor number is the GCF number.
So the greatest common factor 2309,4855 is 1.
Lets's calculate LCM of 565,2709
Given numbers has no common factors except 1. So, there LCM is their product i.e 1530585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1530585
Therefore, the GCF of Fractions 2309/565,4855/2709 is 1/1530585
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 565,2709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,2709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,2709) x common factors =1 x 1 = 1
LCM(565,2709) = ( 565 × 2709 ) / 1
LCM(565,2709) = 1530585 / 1
LCM(565,2709) = 1530585
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 2309/565, 4855/2709?
Answer: GCF of Numerators as per given numbers 2309/565, 4855/2709 is
GCF of Numerators i.e. for 2309,4855 is 1
LCM of denominators i.e. for 565,2709 is 1530585.
Thus, GCF of Fractions is 1/1530585.Finally, GCF of Fractions for 2309/565, 4855/2709 is 1/1530585.