Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3317/292,8233/943
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 3317,8233
Greatest Common Factor of Numerators i.e. GCF of 3317,8233 is 1 .
LCM of Denominators means LCM of 292,943 as per the given fractions.
LCM of 292,943 is 275356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3317,8233
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3317
List of positive integer factors of 3317 that divides 3317 without a remainder.
1,31,107,3317
Factors of 8233
List of positive integer factors of 8233 that divides 8233 without a remainder.
1,8233
Greatest Common Factor
We found the factors 3317,8233 . The biggest common factor number is the GCF number.
So the greatest common factor 3317,8233 is 1.
Lets's calculate LCM of 292,943
Given numbers has no common factors except 1. So, there LCM is their product i.e 275356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275356
Therefore, the GCF of Fractions 3317/292,8233/943 is 1/275356
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 292,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,943) x common factors =1 x 1 = 1
LCM(292,943) = ( 292 × 943 ) / 1
LCM(292,943) = 275356 / 1
LCM(292,943) = 275356
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 3317/292, 8233/943?
Answer: GCF of Numerators as per given numbers 3317/292, 8233/943 is
GCF of Numerators i.e. for 3317,8233 is 1
LCM of denominators i.e. for 292,943 is 275356.
Thus, GCF of Fractions is 1/275356.Finally, GCF of Fractions for 3317/292, 8233/943 is 1/275356.