Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1963/417,2803/2682
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 1963,2803
Greatest Common Factor of Numerators i.e. GCF of 1963,2803 is 1 .
LCM of Denominators means LCM of 417,2682 as per the given fractions.
LCM of 417,2682 is 372798 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1963,2803
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1963
List of positive integer factors of 1963 that divides 1963 without a remainder.
1,13,151,1963
Factors of 2803
List of positive integer factors of 2803 that divides 2803 without a remainder.
1,2803
Greatest Common Factor
We found the factors 1963,2803 . The biggest common factor number is the GCF number.
So the greatest common factor 1963,2803 is 1.
Lets's calculate LCM of 417,2682
3 | 417, 2682 |
139, 894 |
∴ So the LCM of the given numbers is 3 x 139 x 894 = 372798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372798
Therefore, the GCF of Fractions 1963/417,2803/2682 is 1/372798
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 417,2682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,2682) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,2682) x common factors =3 x 1 = 3
LCM(417,2682) = ( 417 × 2682 ) / 3
LCM(417,2682) = 1118394 / 3
LCM(417,2682) = 372798
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 1963/417, 2803/2682?
Answer: GCF of Numerators as per given numbers 1963/417, 2803/2682 is
GCF of Numerators i.e. for 1963,2803 is 1
LCM of denominators i.e. for 417,2682 is 372798.
Thus, GCF of Fractions is 1/372798.Finally, GCF of Fractions for 1963/417, 2803/2682 is 1/372798.