Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7801/397,8385/7884
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 7801,8385
Greatest Common Factor of Numerators i.e. GCF of 7801,8385 is 1 .
LCM of Denominators means LCM of 397,7884 as per the given fractions.
LCM of 397,7884 is 3129948 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7801,8385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7801
List of positive integer factors of 7801 that divides 7801 without a remainder.
1,29,269,7801
Factors of 8385
List of positive integer factors of 8385 that divides 8385 without a remainder.
1,3,5,13,15,39,43,65,129,195,215,559,645,1677,2795,8385
Greatest Common Factor
We found the factors 7801,8385 . The biggest common factor number is the GCF number.
So the greatest common factor 7801,8385 is 1.
Lets's calculate LCM of 397,7884
Given numbers has no common factors except 1. So, there LCM is their product i.e 3129948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3129948
Therefore, the GCF of Fractions 7801/397,8385/7884 is 1/3129948
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 397,7884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,7884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,7884) x common factors =1 x 1 = 1
LCM(397,7884) = ( 397 × 7884 ) / 1
LCM(397,7884) = 3129948 / 1
LCM(397,7884) = 3129948
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 7801/397, 8385/7884?
Answer: GCF of Numerators as per given numbers 7801/397, 8385/7884 is
GCF of Numerators i.e. for 7801,8385 is 1
LCM of denominators i.e. for 397,7884 is 3129948.
Thus, GCF of Fractions is 1/3129948.Finally, GCF of Fractions for 7801/397, 8385/7884 is 1/3129948.