Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2986/616,8336/9857
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 2986,8336
Greatest Common Factor of Numerators i.e. GCF of 2986,8336 is 2 .
LCM of Denominators means LCM of 616,9857 as per the given fractions.
LCM of 616,9857 is 6071912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2986,8336
2 | 2986, 8336 |
1493, 4168 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2986
List of positive integer factors of 2986 that divides 2986 without a remainder.
1,2,1493,2986
Factors of 8336
List of positive integer factors of 8336 that divides 8336 without a remainder.
1,2,4,8,16,521,1042,2084,4168,8336
Greatest Common Factor
We found the factors 2986,8336 . The biggest common factor number is the GCF number.
So the greatest common factor 2986,8336 is 2.
Lets's calculate LCM of 616,9857
Given numbers has no common factors except 1. So, there LCM is their product i.e 6071912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6071912
Therefore, the GCF of Fractions 2986/616,8336/9857 is 2/6071912
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 616,9857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,9857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(616,9857) x common factors =1 x 1 = 1
LCM(616,9857) = ( 616 × 9857 ) / 1
LCM(616,9857) = 6071912 / 1
LCM(616,9857) = 6071912
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 2986/616, 8336/9857?
Answer: GCF of Numerators as per given numbers 2986/616, 8336/9857 is
GCF of Numerators i.e. for 2986,8336 is 2
LCM of denominators i.e. for 616,9857 is 6071912.
Thus, GCF of Fractions is 2/6071912.Finally, GCF of Fractions for 2986/616, 8336/9857 is 2/6071912.