Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 859/571,419/595,720/816
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 859,419,720
Greatest Common Factor of Numerators i.e. GCF of 859,419,720 is 1 .
LCM of Denominators means LCM of 571,595,816 as per the given fractions.
LCM of 571,595,816 is 16307760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 859,419,720
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 859,419,720 . The biggest common factor number is the GCF number.
So the greatest common factor 859,419,720 is 1.
Lets's calculate LCM of 571,595,816
17 | 571, 595, 816 |
571, 35, 48 |
∴ So the LCM of the given numbers is 17 x 571 x 35 x 48 = 16307760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16307760
Therefore, the GCF of Fractions 859/571,419/595,720/816 is 1/16307760
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 571,595,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,595,816) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(571,595,816) x common factors =1 x 17 = 17
LCM(571,595,816) = ( 571 × 595 × 816 ) / 17
LCM(571,595,816) = 277231920 / 17
LCM(571,595,816) = 16307760
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 859/571, 419/595, 720/816?
Answer: GCF of Numerators as per given numbers 859/571, 419/595, 720/816 is
GCF of Numerators i.e. for 859,419,720 is 1
LCM of denominators i.e. for 571,595,816 is 16307760.
Thus, GCF of Fractions is 1/16307760.Finally, GCF of Fractions for 859/571, 419/595, 720/816 is 1/16307760.