Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4565/35,3887/511
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 4565,3887
Greatest Common Factor of Numerators i.e. GCF of 4565,3887 is 1 .
LCM of Denominators means LCM of 35,511 as per the given fractions.
LCM of 35,511 is 2555 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4565,3887
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4565
List of positive integer factors of 4565 that divides 4565 without a remainder.
1,5,11,55,83,415,913,4565
Factors of 3887
List of positive integer factors of 3887 that divides 3887 without a remainder.
1,13,23,169,299,3887
Greatest Common Factor
We found the factors 4565,3887 . The biggest common factor number is the GCF number.
So the greatest common factor 4565,3887 is 1.
Lets's calculate LCM of 35,511
7 | 35, 511 |
5, 73 |
∴ So the LCM of the given numbers is 7 x 5 x 73 = 2555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2555
Therefore, the GCF of Fractions 4565/35,3887/511 is 1/2555
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 35,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,511) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(35,511) x common factors =7 x 1 = 7
LCM(35,511) = ( 35 × 511 ) / 7
LCM(35,511) = 17885 / 7
LCM(35,511) = 2555
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 4565/35, 3887/511?
Answer: GCF of Numerators as per given numbers 4565/35, 3887/511 is
GCF of Numerators i.e. for 4565,3887 is 1
LCM of denominators i.e. for 35,511 is 2555.
Thus, GCF of Fractions is 1/2555.Finally, GCF of Fractions for 4565/35, 3887/511 is 1/2555.