Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/258,3575/5570
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 27,3575
Greatest Common Factor of Numerators i.e. GCF of 27,3575 is 1 .
LCM of Denominators means LCM of 258,5570 as per the given fractions.
LCM of 258,5570 is 718530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,3575
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 3575
List of positive integer factors of 3575 that divides 3575 without a remainder.
1,5,11,13,25,55,65,143,275,325,715,3575
Greatest Common Factor
We found the factors 27,3575 . The biggest common factor number is the GCF number.
So the greatest common factor 27,3575 is 1.
Lets's calculate LCM of 258,5570
2 | 258, 5570 |
129, 2785 |
∴ So the LCM of the given numbers is 2 x 129 x 2785 = 718530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/718530
Therefore, the GCF of Fractions 27/258,3575/5570 is 1/718530
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 258,5570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,5570) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,5570) x common factors =2 x 1 = 2
LCM(258,5570) = ( 258 × 5570 ) / 2
LCM(258,5570) = 1437060 / 2
LCM(258,5570) = 718530
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 27/258, 3575/5570?
Answer: GCF of Numerators as per given numbers 27/258, 3575/5570 is
GCF of Numerators i.e. for 27,3575 is 1
LCM of denominators i.e. for 258,5570 is 718530.
Thus, GCF of Fractions is 1/718530.Finally, GCF of Fractions for 27/258, 3575/5570 is 1/718530.