Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3085/204,9872/607
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 3085,9872
Greatest Common Factor of Numerators i.e. GCF of 3085,9872 is 617 .
LCM of Denominators means LCM of 204,607 as per the given fractions.
LCM of 204,607 is 123828 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3085,9872
617 | 3085, 9872 |
5, 16 |
∴ So the GCF of the given numbers is 617 = 617
Factors of 3085
List of positive integer factors of 3085 that divides 3085 without a remainder.
1,5,617,3085
Factors of 9872
List of positive integer factors of 9872 that divides 9872 without a remainder.
1,2,4,8,16,617,1234,2468,4936,9872
Greatest Common Factor
We found the factors 3085,9872 . The biggest common factor number is the GCF number.
So the greatest common factor 3085,9872 is 617.
Lets's calculate LCM of 204,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 123828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 617/123828
Therefore, the GCF of Fractions 3085/204,9872/607 is 617/123828
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 204,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,607) x common factors =1 x 1 = 1
LCM(204,607) = ( 204 × 607 ) / 1
LCM(204,607) = 123828 / 1
LCM(204,607) = 123828
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 3085/204, 9872/607?
Answer: GCF of Numerators as per given numbers 3085/204, 9872/607 is
GCF of Numerators i.e. for 3085,9872 is 617
LCM of denominators i.e. for 204,607 is 123828.
Thus, GCF of Fractions is 617/123828.Finally, GCF of Fractions for 3085/204, 9872/607 is 617/123828.