Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 607/27,2187/876
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 607,2187
Greatest Common Factor of Numerators i.e. GCF of 607,2187 is 1 .
LCM of Denominators means LCM of 27,876 as per the given fractions.
LCM of 27,876 is 7884 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 607,2187
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Factors of 2187
List of positive integer factors of 2187 that divides 2187 without a remainder.
1,3,9,27,81,243,729,2187
Greatest Common Factor
We found the factors 607,2187 . The biggest common factor number is the GCF number.
So the greatest common factor 607,2187 is 1.
Lets's calculate LCM of 27,876
3 | 27, 876 |
9, 292 |
∴ So the LCM of the given numbers is 3 x 9 x 292 = 7884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7884
Therefore, the GCF of Fractions 607/27,2187/876 is 1/7884
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 27,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,876) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(27,876) x common factors =3 x 1 = 3
LCM(27,876) = ( 27 × 876 ) / 3
LCM(27,876) = 23652 / 3
LCM(27,876) = 7884
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 607/27, 2187/876?
Answer: GCF of Numerators as per given numbers 607/27, 2187/876 is
GCF of Numerators i.e. for 607,2187 is 1
LCM of denominators i.e. for 27,876 is 7884.
Thus, GCF of Fractions is 1/7884.Finally, GCF of Fractions for 607/27, 2187/876 is 1/7884.