Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9844/638,8673/857
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 9844,8673
Greatest Common Factor of Numerators i.e. GCF of 9844,8673 is 1 .
LCM of Denominators means LCM of 638,857 as per the given fractions.
LCM of 638,857 is 546766 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9844,8673
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9844
List of positive integer factors of 9844 that divides 9844 without a remainder.
1,2,4,23,46,92,107,214,428,2461,4922,9844
Factors of 8673
List of positive integer factors of 8673 that divides 8673 without a remainder.
1,3,7,21,49,59,147,177,413,1239,2891,8673
Greatest Common Factor
We found the factors 9844,8673 . The biggest common factor number is the GCF number.
So the greatest common factor 9844,8673 is 1.
Lets's calculate LCM of 638,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 546766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/546766
Therefore, the GCF of Fractions 9844/638,8673/857 is 1/546766
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 638,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,857) x common factors =1 x 1 = 1
LCM(638,857) = ( 638 × 857 ) / 1
LCM(638,857) = 546766 / 1
LCM(638,857) = 546766
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 9844/638, 8673/857?
Answer: GCF of Numerators as per given numbers 9844/638, 8673/857 is
GCF of Numerators i.e. for 9844,8673 is 1
LCM of denominators i.e. for 638,857 is 546766.
Thus, GCF of Fractions is 1/546766.Finally, GCF of Fractions for 9844/638, 8673/857 is 1/546766.