Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9193/36,4479/382
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 9193,4479
Greatest Common Factor of Numerators i.e. GCF of 9193,4479 is 1 .
LCM of Denominators means LCM of 36,382 as per the given fractions.
LCM of 36,382 is 6876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9193,4479
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9193
List of positive integer factors of 9193 that divides 9193 without a remainder.
1,29,317,9193
Factors of 4479
List of positive integer factors of 4479 that divides 4479 without a remainder.
1,3,1493,4479
Greatest Common Factor
We found the factors 9193,4479 . The biggest common factor number is the GCF number.
So the greatest common factor 9193,4479 is 1.
Lets's calculate LCM of 36,382
2 | 36, 382 |
18, 191 |
∴ So the LCM of the given numbers is 2 x 18 x 191 = 6876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6876
Therefore, the GCF of Fractions 9193/36,4479/382 is 1/6876
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 36,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(36,382) x common factors =2 x 1 = 2
LCM(36,382) = ( 36 × 382 ) / 2
LCM(36,382) = 13752 / 2
LCM(36,382) = 6876
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 9193/36, 4479/382?
Answer: GCF of Numerators as per given numbers 9193/36, 4479/382 is
GCF of Numerators i.e. for 9193,4479 is 1
LCM of denominators i.e. for 36,382 is 6876.
Thus, GCF of Fractions is 1/6876.Finally, GCF of Fractions for 9193/36, 4479/382 is 1/6876.