Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3295/39,1824/909
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 3295,1824
Greatest Common Factor of Numerators i.e. GCF of 3295,1824 is 1 .
LCM of Denominators means LCM of 39,909 as per the given fractions.
LCM of 39,909 is 11817 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3295,1824
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3295
List of positive integer factors of 3295 that divides 3295 without a remainder.
1,5,659,3295
Factors of 1824
List of positive integer factors of 1824 that divides 1824 without a remainder.
1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824
Greatest Common Factor
We found the factors 3295,1824 . The biggest common factor number is the GCF number.
So the greatest common factor 3295,1824 is 1.
Lets's calculate LCM of 39,909
3 | 39, 909 |
13, 303 |
∴ So the LCM of the given numbers is 3 x 13 x 303 = 11817
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11817
Therefore, the GCF of Fractions 3295/39,1824/909 is 1/11817
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 39,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,909) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,909) x common factors =3 x 1 = 3
LCM(39,909) = ( 39 × 909 ) / 3
LCM(39,909) = 35451 / 3
LCM(39,909) = 11817
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 3295/39, 1824/909?
Answer: GCF of Numerators as per given numbers 3295/39, 1824/909 is
GCF of Numerators i.e. for 3295,1824 is 1
LCM of denominators i.e. for 39,909 is 11817.
Thus, GCF of Fractions is 1/11817.Finally, GCF of Fractions for 3295/39, 1824/909 is 1/11817.