Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2867/681,2323/2443
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 2867,2323
Greatest Common Factor of Numerators i.e. GCF of 2867,2323 is 1 .
LCM of Denominators means LCM of 681,2443 as per the given fractions.
LCM of 681,2443 is 1663683 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2867,2323
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2867
List of positive integer factors of 2867 that divides 2867 without a remainder.
1,47,61,2867
Factors of 2323
List of positive integer factors of 2323 that divides 2323 without a remainder.
1,23,101,2323
Greatest Common Factor
We found the factors 2867,2323 . The biggest common factor number is the GCF number.
So the greatest common factor 2867,2323 is 1.
Lets's calculate LCM of 681,2443
Given numbers has no common factors except 1. So, there LCM is their product i.e 1663683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1663683
Therefore, the GCF of Fractions 2867/681,2323/2443 is 1/1663683
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 681,2443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,2443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,2443) x common factors =1 x 1 = 1
LCM(681,2443) = ( 681 × 2443 ) / 1
LCM(681,2443) = 1663683 / 1
LCM(681,2443) = 1663683
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 2867/681, 2323/2443?
Answer: GCF of Numerators as per given numbers 2867/681, 2323/2443 is
GCF of Numerators i.e. for 2867,2323 is 1
LCM of denominators i.e. for 681,2443 is 1663683.
Thus, GCF of Fractions is 1/1663683.Finally, GCF of Fractions for 2867/681, 2323/2443 is 1/1663683.