Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2893/69,3340/209
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 2893,3340
Greatest Common Factor of Numerators i.e. GCF of 2893,3340 is 1 .
LCM of Denominators means LCM of 69,209 as per the given fractions.
LCM of 69,209 is 14421 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2893,3340
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2893
List of positive integer factors of 2893 that divides 2893 without a remainder.
1,11,263,2893
Factors of 3340
List of positive integer factors of 3340 that divides 3340 without a remainder.
1,2,4,5,10,20,167,334,668,835,1670,3340
Greatest Common Factor
We found the factors 2893,3340 . The biggest common factor number is the GCF number.
So the greatest common factor 2893,3340 is 1.
Lets's calculate LCM of 69,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 14421
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14421
Therefore, the GCF of Fractions 2893/69,3340/209 is 1/14421
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 69,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,209) x common factors =1 x 1 = 1
LCM(69,209) = ( 69 × 209 ) / 1
LCM(69,209) = 14421 / 1
LCM(69,209) = 14421
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 2893/69, 3340/209?
Answer: GCF of Numerators as per given numbers 2893/69, 3340/209 is
GCF of Numerators i.e. for 2893,3340 is 1
LCM of denominators i.e. for 69,209 is 14421.
Thus, GCF of Fractions is 1/14421.Finally, GCF of Fractions for 2893/69, 3340/209 is 1/14421.