Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 74/806,50/273,589/815
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 74,50,589
Greatest Common Factor of Numerators i.e. GCF of 74,50,589 is 1 .
LCM of Denominators means LCM of 806,273,815 as per the given fractions.
LCM of 806,273,815 is 13794690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 74,50,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Greatest Common Factor
We found the factors 74,50,589 . The biggest common factor number is the GCF number.
So the greatest common factor 74,50,589 is 1.
Lets's calculate LCM of 806,273,815
13 | 806, 273, 815 |
62, 21, 815 |
∴ So the LCM of the given numbers is 13 x 62 x 21 x 815 = 13794690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13794690
Therefore, the GCF of Fractions 74/806,50/273,589/815 is 1/13794690
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 806,273,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,273,815) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(806,273,815) x common factors =1 x 13 = 13
LCM(806,273,815) = ( 806 × 273 × 815 ) / 13
LCM(806,273,815) = 179330970 / 13
LCM(806,273,815) = 13794690
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 74/806, 50/273, 589/815?
Answer: GCF of Numerators as per given numbers 74/806, 50/273, 589/815 is
GCF of Numerators i.e. for 74,50,589 is 1
LCM of denominators i.e. for 806,273,815 is 13794690.
Thus, GCF of Fractions is 1/13794690.Finally, GCF of Fractions for 74/806, 50/273, 589/815 is 1/13794690.