Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 675/135,5942/591
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 675,5942
Greatest Common Factor of Numerators i.e. GCF of 675,5942 is 1 .
LCM of Denominators means LCM of 135,591 as per the given fractions.
LCM of 135,591 is 26595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 675,5942
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Factors of 5942
List of positive integer factors of 5942 that divides 5942 without a remainder.
1,2,2971,5942
Greatest Common Factor
We found the factors 675,5942 . The biggest common factor number is the GCF number.
So the greatest common factor 675,5942 is 1.
Lets's calculate LCM of 135,591
3 | 135, 591 |
45, 197 |
∴ So the LCM of the given numbers is 3 x 45 x 197 = 26595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26595
Therefore, the GCF of Fractions 675/135,5942/591 is 1/26595
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 135,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,591) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(135,591) x common factors =3 x 1 = 3
LCM(135,591) = ( 135 × 591 ) / 3
LCM(135,591) = 79785 / 3
LCM(135,591) = 26595
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 675/135, 5942/591?
Answer: GCF of Numerators as per given numbers 675/135, 5942/591 is
GCF of Numerators i.e. for 675,5942 is 1
LCM of denominators i.e. for 135,591 is 26595.
Thus, GCF of Fractions is 1/26595.Finally, GCF of Fractions for 675/135, 5942/591 is 1/26595.