Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/361,813/786
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 18,813
Greatest Common Factor of Numerators i.e. GCF of 18,813 is 3 .
LCM of Denominators means LCM of 361,786 as per the given fractions.
LCM of 361,786 is 283746 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,813
3 | 18, 813 |
6, 271 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Greatest Common Factor
We found the factors 18,813 . The biggest common factor number is the GCF number.
So the greatest common factor 18,813 is 3.
Lets's calculate LCM of 361,786
Given numbers has no common factors except 1. So, there LCM is their product i.e 283746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/283746
Therefore, the GCF of Fractions 18/361,813/786 is 3/283746
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 361,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,786) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,786) x common factors =1 x 1 = 1
LCM(361,786) = ( 361 × 786 ) / 1
LCM(361,786) = 283746 / 1
LCM(361,786) = 283746
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 18/361, 813/786?
Answer: GCF of Numerators as per given numbers 18/361, 813/786 is
GCF of Numerators i.e. for 18,813 is 3
LCM of denominators i.e. for 361,786 is 283746.
Thus, GCF of Fractions is 3/283746.Finally, GCF of Fractions for 18/361, 813/786 is 3/283746.