Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5291/215,1872/3884
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 5291,1872
Greatest Common Factor of Numerators i.e. GCF of 5291,1872 is 13 .
LCM of Denominators means LCM of 215,3884 as per the given fractions.
LCM of 215,3884 is 835060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5291,1872
13 | 5291, 1872 |
407, 144 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 5291
List of positive integer factors of 5291 that divides 5291 without a remainder.
1,11,13,37,143,407,481,5291
Factors of 1872
List of positive integer factors of 1872 that divides 1872 without a remainder.
1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872
Greatest Common Factor
We found the factors 5291,1872 . The biggest common factor number is the GCF number.
So the greatest common factor 5291,1872 is 13.
Lets's calculate LCM of 215,3884
Given numbers has no common factors except 1. So, there LCM is their product i.e 835060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/835060
Therefore, the GCF of Fractions 5291/215,1872/3884 is 13/835060
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 215,3884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,3884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,3884) x common factors =1 x 1 = 1
LCM(215,3884) = ( 215 × 3884 ) / 1
LCM(215,3884) = 835060 / 1
LCM(215,3884) = 835060
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 5291/215, 1872/3884?
Answer: GCF of Numerators as per given numbers 5291/215, 1872/3884 is
GCF of Numerators i.e. for 5291,1872 is 13
LCM of denominators i.e. for 215,3884 is 835060.
Thus, GCF of Fractions is 13/835060.Finally, GCF of Fractions for 5291/215, 1872/3884 is 13/835060.