Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3265/286,2397/4249
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 3265,2397
Greatest Common Factor of Numerators i.e. GCF of 3265,2397 is 1 .
LCM of Denominators means LCM of 286,4249 as per the given fractions.
LCM of 286,4249 is 1215214 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3265,2397
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3265
List of positive integer factors of 3265 that divides 3265 without a remainder.
1,5,653,3265
Factors of 2397
List of positive integer factors of 2397 that divides 2397 without a remainder.
1,3,17,47,51,141,799,2397
Greatest Common Factor
We found the factors 3265,2397 . The biggest common factor number is the GCF number.
So the greatest common factor 3265,2397 is 1.
Lets's calculate LCM of 286,4249
Given numbers has no common factors except 1. So, there LCM is their product i.e 1215214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1215214
Therefore, the GCF of Fractions 3265/286,2397/4249 is 1/1215214
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 286,4249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,4249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(286,4249) x common factors =1 x 1 = 1
LCM(286,4249) = ( 286 × 4249 ) / 1
LCM(286,4249) = 1215214 / 1
LCM(286,4249) = 1215214
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 3265/286, 2397/4249?
Answer: GCF of Numerators as per given numbers 3265/286, 2397/4249 is
GCF of Numerators i.e. for 3265,2397 is 1
LCM of denominators i.e. for 286,4249 is 1215214.
Thus, GCF of Fractions is 1/1215214.Finally, GCF of Fractions for 3265/286, 2397/4249 is 1/1215214.