Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/161,837/726
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 15,837
Greatest Common Factor of Numerators i.e. GCF of 15,837 is 3 .
LCM of Denominators means LCM of 161,726 as per the given fractions.
LCM of 161,726 is 116886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,837
3 | 15, 837 |
5, 279 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors 15,837 . The biggest common factor number is the GCF number.
So the greatest common factor 15,837 is 3.
Lets's calculate LCM of 161,726
Given numbers has no common factors except 1. So, there LCM is their product i.e 116886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/116886
Therefore, the GCF of Fractions 15/161,837/726 is 3/116886
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 161,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,726) x common factors =1 x 1 = 1
LCM(161,726) = ( 161 × 726 ) / 1
LCM(161,726) = 116886 / 1
LCM(161,726) = 116886
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 15/161, 837/726?
Answer: GCF of Numerators as per given numbers 15/161, 837/726 is
GCF of Numerators i.e. for 15,837 is 3
LCM of denominators i.e. for 161,726 is 116886.
Thus, GCF of Fractions is 3/116886.Finally, GCF of Fractions for 15/161, 837/726 is 3/116886.