Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 813/248,9332/187
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 813,9332
Greatest Common Factor of Numerators i.e. GCF of 813,9332 is 1 .
LCM of Denominators means LCM of 248,187 as per the given fractions.
LCM of 248,187 is 46376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 813,9332
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Factors of 9332
List of positive integer factors of 9332 that divides 9332 without a remainder.
1,2,4,2333,4666,9332
Greatest Common Factor
We found the factors 813,9332 . The biggest common factor number is the GCF number.
So the greatest common factor 813,9332 is 1.
Lets's calculate LCM of 248,187
Given numbers has no common factors except 1. So, there LCM is their product i.e 46376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46376
Therefore, the GCF of Fractions 813/248,9332/187 is 1/46376
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 248,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,187) x common factors =1 x 1 = 1
LCM(248,187) = ( 248 × 187 ) / 1
LCM(248,187) = 46376 / 1
LCM(248,187) = 46376
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 813/248, 9332/187?
Answer: GCF of Numerators as per given numbers 813/248, 9332/187 is
GCF of Numerators i.e. for 813,9332 is 1
LCM of denominators i.e. for 248,187 is 46376.
Thus, GCF of Fractions is 1/46376.Finally, GCF of Fractions for 813/248, 9332/187 is 1/46376.