Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8830/821,2337/857
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 8830,2337
Greatest Common Factor of Numerators i.e. GCF of 8830,2337 is 1 .
LCM of Denominators means LCM of 821,857 as per the given fractions.
LCM of 821,857 is 703597 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8830,2337
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8830
List of positive integer factors of 8830 that divides 8830 without a remainder.
1,2,5,10,883,1766,4415,8830
Factors of 2337
List of positive integer factors of 2337 that divides 2337 without a remainder.
1,3,19,41,57,123,779,2337
Greatest Common Factor
We found the factors 8830,2337 . The biggest common factor number is the GCF number.
So the greatest common factor 8830,2337 is 1.
Lets's calculate LCM of 821,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 703597
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/703597
Therefore, the GCF of Fractions 8830/821,2337/857 is 1/703597
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 821,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,857) x common factors =1 x 1 = 1
LCM(821,857) = ( 821 × 857 ) / 1
LCM(821,857) = 703597 / 1
LCM(821,857) = 703597
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 8830/821, 2337/857?
Answer: GCF of Numerators as per given numbers 8830/821, 2337/857 is
GCF of Numerators i.e. for 8830,2337 is 1
LCM of denominators i.e. for 821,857 is 703597.
Thus, GCF of Fractions is 1/703597.Finally, GCF of Fractions for 8830/821, 2337/857 is 1/703597.