Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 158/39,545/1815
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 158,545
Greatest Common Factor of Numerators i.e. GCF of 158,545 is 1 .
LCM of Denominators means LCM of 39,1815 as per the given fractions.
LCM of 39,1815 is 23595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 158,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 158,545 . The biggest common factor number is the GCF number.
So the greatest common factor 158,545 is 1.
Lets's calculate LCM of 39,1815
3 | 39, 1815 |
13, 605 |
∴ So the LCM of the given numbers is 3 x 13 x 605 = 23595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23595
Therefore, the GCF of Fractions 158/39,545/1815 is 1/23595
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 39,1815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,1815) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,1815) x common factors =3 x 1 = 3
LCM(39,1815) = ( 39 × 1815 ) / 3
LCM(39,1815) = 70785 / 3
LCM(39,1815) = 23595
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 158/39, 545/1815?
Answer: GCF of Numerators as per given numbers 158/39, 545/1815 is
GCF of Numerators i.e. for 158,545 is 1
LCM of denominators i.e. for 39,1815 is 23595.
Thus, GCF of Fractions is 1/23595.Finally, GCF of Fractions for 158/39, 545/1815 is 1/23595.