Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2838/50,1716/997
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 2838,1716
Greatest Common Factor of Numerators i.e. GCF of 2838,1716 is 66 .
LCM of Denominators means LCM of 50,997 as per the given fractions.
LCM of 50,997 is 49850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2838,1716
2 | 2838, 1716 |
3 | 1419, 858 |
11 | 473, 286 |
43, 26 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Factors of 2838
List of positive integer factors of 2838 that divides 2838 without a remainder.
1,2,3,6,11,22,33,43,66,86,129,258,473,946,1419,2838
Factors of 1716
List of positive integer factors of 1716 that divides 1716 without a remainder.
1,2,3,4,6,11,12,13,22,26,33,39,44,52,66,78,132,143,156,286,429,572,858,1716
Greatest Common Factor
We found the factors 2838,1716 . The biggest common factor number is the GCF number.
So the greatest common factor 2838,1716 is 66.
Lets's calculate LCM of 50,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 49850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/49850
Therefore, the GCF of Fractions 2838/50,1716/997 is 66/49850
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 50,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,997) x common factors =1 x 1 = 1
LCM(50,997) = ( 50 × 997 ) / 1
LCM(50,997) = 49850 / 1
LCM(50,997) = 49850
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 2838/50, 1716/997?
Answer: GCF of Numerators as per given numbers 2838/50, 1716/997 is
GCF of Numerators i.e. for 2838,1716 is 66
LCM of denominators i.e. for 50,997 is 49850.
Thus, GCF of Fractions is 66/49850.Finally, GCF of Fractions for 2838/50, 1716/997 is 66/49850.