Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1917/81,3636/260
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 1917,3636
Greatest Common Factor of Numerators i.e. GCF of 1917,3636 is 9 .
LCM of Denominators means LCM of 81,260 as per the given fractions.
LCM of 81,260 is 21060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1917,3636
3 | 1917, 3636 |
3 | 639, 1212 |
213, 404 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 1917
List of positive integer factors of 1917 that divides 1917 without a remainder.
1,3,9,27,71,213,639,1917
Factors of 3636
List of positive integer factors of 3636 that divides 3636 without a remainder.
1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636
Greatest Common Factor
We found the factors 1917,3636 . The biggest common factor number is the GCF number.
So the greatest common factor 1917,3636 is 9.
Lets's calculate LCM of 81,260
Given numbers has no common factors except 1. So, there LCM is their product i.e 21060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/21060
Therefore, the GCF of Fractions 1917/81,3636/260 is 9/21060
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 81,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,260) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,260) x common factors =1 x 1 = 1
LCM(81,260) = ( 81 × 260 ) / 1
LCM(81,260) = 21060 / 1
LCM(81,260) = 21060
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 1917/81, 3636/260?
Answer: GCF of Numerators as per given numbers 1917/81, 3636/260 is
GCF of Numerators i.e. for 1917,3636 is 9
LCM of denominators i.e. for 81,260 is 21060.
Thus, GCF of Fractions is 9/21060.Finally, GCF of Fractions for 1917/81, 3636/260 is 9/21060.