Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2338/634,9513/9281
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 2338,9513
Greatest Common Factor of Numerators i.e. GCF of 2338,9513 is 7 .
LCM of Denominators means LCM of 634,9281 as per the given fractions.
LCM of 634,9281 is 5884154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2338,9513
7 | 2338, 9513 |
334, 1359 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 2338
List of positive integer factors of 2338 that divides 2338 without a remainder.
1,2,7,14,167,334,1169,2338
Factors of 9513
List of positive integer factors of 9513 that divides 9513 without a remainder.
1,3,7,9,21,63,151,453,1057,1359,3171,9513
Greatest Common Factor
We found the factors 2338,9513 . The biggest common factor number is the GCF number.
So the greatest common factor 2338,9513 is 7.
Lets's calculate LCM of 634,9281
Given numbers has no common factors except 1. So, there LCM is their product i.e 5884154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5884154
Therefore, the GCF of Fractions 2338/634,9513/9281 is 7/5884154
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 634,9281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,9281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,9281) x common factors =1 x 1 = 1
LCM(634,9281) = ( 634 × 9281 ) / 1
LCM(634,9281) = 5884154 / 1
LCM(634,9281) = 5884154
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 2338/634, 9513/9281?
Answer: GCF of Numerators as per given numbers 2338/634, 9513/9281 is
GCF of Numerators i.e. for 2338,9513 is 7
LCM of denominators i.e. for 634,9281 is 5884154.
Thus, GCF of Fractions is 7/5884154.Finally, GCF of Fractions for 2338/634, 9513/9281 is 7/5884154.