Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9915/654,2810/839
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 9915,2810
Greatest Common Factor of Numerators i.e. GCF of 9915,2810 is 5 .
LCM of Denominators means LCM of 654,839 as per the given fractions.
LCM of 654,839 is 548706 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9915,2810
5 | 9915, 2810 |
1983, 562 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 9915
List of positive integer factors of 9915 that divides 9915 without a remainder.
1,3,5,15,661,1983,3305,9915
Factors of 2810
List of positive integer factors of 2810 that divides 2810 without a remainder.
1,2,5,10,281,562,1405,2810
Greatest Common Factor
We found the factors 9915,2810 . The biggest common factor number is the GCF number.
So the greatest common factor 9915,2810 is 5.
Lets's calculate LCM of 654,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 548706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/548706
Therefore, the GCF of Fractions 9915/654,2810/839 is 5/548706
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 654,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(654,839) x common factors =1 x 1 = 1
LCM(654,839) = ( 654 × 839 ) / 1
LCM(654,839) = 548706 / 1
LCM(654,839) = 548706
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 9915/654, 2810/839?
Answer: GCF of Numerators as per given numbers 9915/654, 2810/839 is
GCF of Numerators i.e. for 9915,2810 is 5
LCM of denominators i.e. for 654,839 is 548706.
Thus, GCF of Fractions is 5/548706.Finally, GCF of Fractions for 9915/654, 2810/839 is 5/548706.