Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 419/17,799/19,649/285
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 419,799,649
Greatest Common Factor of Numerators i.e. GCF of 419,799,649 is 1 .
LCM of Denominators means LCM of 17,19,285 as per the given fractions.
LCM of 17,19,285 is 4845 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 419,799,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 419,799,649 . The biggest common factor number is the GCF number.
So the greatest common factor 419,799,649 is 1.
Lets's calculate LCM of 17,19,285
19 | 17, 19, 285 |
17, 1, 15 |
∴ So the LCM of the given numbers is 19 x 17 x 1 x 15 = 4845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4845
Therefore, the GCF of Fractions 419/17,799/19,649/285 is 1/4845
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 17,19,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,19,285) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(17,19,285) x common factors =1 x 19 = 19
LCM(17,19,285) = ( 17 × 19 × 285 ) / 19
LCM(17,19,285) = 92055 / 19
LCM(17,19,285) = 4845
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 419/17, 799/19, 649/285?
Answer: GCF of Numerators as per given numbers 419/17, 799/19, 649/285 is
GCF of Numerators i.e. for 419,799,649 is 1
LCM of denominators i.e. for 17,19,285 is 4845.
Thus, GCF of Fractions is 1/4845.Finally, GCF of Fractions for 419/17, 799/19, 649/285 is 1/4845.