Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8613/34,7953/393
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 8613,7953
Greatest Common Factor of Numerators i.e. GCF of 8613,7953 is 33 .
LCM of Denominators means LCM of 34,393 as per the given fractions.
LCM of 34,393 is 13362 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8613,7953
3 | 8613, 7953 |
11 | 2871, 2651 |
261, 241 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Factors of 8613
List of positive integer factors of 8613 that divides 8613 without a remainder.
1,3,9,11,27,29,33,87,99,261,297,319,783,957,2871,8613
Factors of 7953
List of positive integer factors of 7953 that divides 7953 without a remainder.
1,3,11,33,241,723,2651,7953
Greatest Common Factor
We found the factors 8613,7953 . The biggest common factor number is the GCF number.
So the greatest common factor 8613,7953 is 33.
Lets's calculate LCM of 34,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 13362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/13362
Therefore, the GCF of Fractions 8613/34,7953/393 is 33/13362
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 34,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,393) x common factors =1 x 1 = 1
LCM(34,393) = ( 34 × 393 ) / 1
LCM(34,393) = 13362 / 1
LCM(34,393) = 13362
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 8613/34, 7953/393?
Answer: GCF of Numerators as per given numbers 8613/34, 7953/393 is
GCF of Numerators i.e. for 8613,7953 is 33
LCM of denominators i.e. for 34,393 is 13362.
Thus, GCF of Fractions is 33/13362.Finally, GCF of Fractions for 8613/34, 7953/393 is 33/13362.