Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3502/15,1866/229
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 3502,1866
Greatest Common Factor of Numerators i.e. GCF of 3502,1866 is 2 .
LCM of Denominators means LCM of 15,229 as per the given fractions.
LCM of 15,229 is 3435 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3502,1866
2 | 3502, 1866 |
1751, 933 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3502
List of positive integer factors of 3502 that divides 3502 without a remainder.
1,2,17,34,103,206,1751,3502
Factors of 1866
List of positive integer factors of 1866 that divides 1866 without a remainder.
1,2,3,6,311,622,933,1866
Greatest Common Factor
We found the factors 3502,1866 . The biggest common factor number is the GCF number.
So the greatest common factor 3502,1866 is 2.
Lets's calculate LCM of 15,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 3435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3435
Therefore, the GCF of Fractions 3502/15,1866/229 is 2/3435
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 15,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,229) x common factors =1 x 1 = 1
LCM(15,229) = ( 15 × 229 ) / 1
LCM(15,229) = 3435 / 1
LCM(15,229) = 3435
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 3502/15, 1866/229?
Answer: GCF of Numerators as per given numbers 3502/15, 1866/229 is
GCF of Numerators i.e. for 3502,1866 is 2
LCM of denominators i.e. for 15,229 is 3435.
Thus, GCF of Fractions is 2/3435.Finally, GCF of Fractions for 3502/15, 1866/229 is 2/3435.